番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-12/

1. Nef Hattori classes and products of projective lines
2. $G$-Equivariant Hilbert Schemes and Quadratic Forms
3. Algebraic Vector Bundles on Cluster Varieties
4. Normal bundles of hyperelliptic curves and uniform propagation of semistability
5. A Comparison Theorem for $p$-adic GKZ Hypergeometric $\mathcal D$-Modules and Complexes
6. Covering plane curves over finite fields with lines
7. Boundedness of polarized log Calabi-Yau fibrations
8. Classification of can-Var diagrams of mixed Hodge structures and monodromic mixed Hodge modules on $\mathbb{C}$
9. Artin-Schreier curves of prescribed p-rank without extra automorphisms
10. Geometry of some determinantal arrangements
11. Gamma conjecture II and explicit Stokes data for a quadric projective bundle
12. Quillen's local parameter conjecture in dimension four
13. Campana strong approximation on generalised Markoff surfaces
14. On the Cohomology Classes of Certain Eisenstein-Kronecker Forms
15. Monodromy of Tate-Linear varieties
16. Weighted, GIT and N\'eron--Tate heights on genus-two moduli and Jacobians
17. The Tate Conjecture for Ordinary Calabi-Yau Threefolds
18. Finiteness of planar central configurations of five bodies for all positive masses
19. Open WDVV equations for non-commutative families of bounding cochains
20. A complex associated to a family of ideals and applications to subspace arrangements
21. A discrete analogue of $\mathscr{N}=2$ super Weil-Petersson volumes
22. Travel time tomography for elliptically anisotropic elastic planar media
23. The (right) homotopy between two A$_{\infty}$-morphisms
24. Biholomorphic rigidity and symmetry breaking for domains with Bergman metric of constant positive holomorphic sectional curvature

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-09/

1. Embeddings of Derived Categories of Moduli Spaces into Symmetric Powers
2. K-Moduli Wall Crossing and Automorphic Forms for the Moduli Space of Rational Elliptic Surfaces
3. K-moduli wall crossing for quasimaps to a projective variety
4. Equal-mass sunset integrals and genus-zero local Gromov--Witten theory of Calabi--Yau $n$-folds
5. Effective syzygies of secant varieties
6. An explicit tame factorization of the four-variable Anick automorphism
7. A Proof of Mongardi's Conjecture on Finite Symplectic Group Actions on Hyperk\"ahler Manifolds of $K3^{[n]}$ Type
8. Toric flatness I
9. Helly Numbers for Connected Reductive Groups and Splitting of Toric Principal Bundles
10. Injectivity of specialization maps in critical cohomology
11. Loyalty of the affine line in motivic homotopy theory
12. Largeness of the wild locus
13. On Calabi-Yau varieties that are linear sections of Grassmannians of lines
14. Rational curves on toroidal compactifications of Picard modular varieties
15. Linear syzygies and linear subspaces whose lines are multisecant
16. On the kernels of Lefschetz operators
17. Hyperquiver varieties
18. Hyperk\"ahler SYZ conjecture
19. Characteristic cycles and the Gevrey filtration of irregularity in hypergeometric families
20. The moduli space of curves of genus 16 is uniruled
21. Local Constancy of the Betti Automorphic Category over the Moduli of Curves
22. Fourier quasicrystals with positive integer masses are sections of Lee-Yang cycles
23. The rational homology of quotients of the curve complex
24. The three- and four-loop equal-mass sunset integrals and local Calabi--Yau fourfolds and fivefolds
25. Quantum geometry at arbitrary genus - I: Anharmonic potentials
26. Frobenius splitting of valuation rings revisited
27. Categorified Cluster Structures on Coulomb Branches of Certain Star-Shaped Quivers
28. Continuity of the Julia sets in non-archimedean and hybrid settings
29. Equivariant noncommutative crepant resolutions and $G$-maximal modifying modules
30. Uniform Height Gaps in Arbitrary Characteristics
31. Unipotent Selmer dimensions for CM curves via Iwasawa loci
32. A uniform bound for the minimal degree of an isogeny between principally polarized superspecial abelian surfaces
33. Character variety of the five-punctured sphere and the determinantal quintic hypersurface
34. Atiyah classes and ellipticity of Oka manifolds
35. Topological inequalities for conic-line arrangements with some prescribed singularities
36. On Igusa's conjectures for weighted homogeneous polynomials with isolated singularities
37. Generalized linear cellular automata in groups and difference Galois theory II
38. Testing Algebraic Complete Intersections
39. Wave packets asymptotics in $\kappa$-minkowski space
40. Geometrically Abelian Sections on Higher-Dimensional Varieties

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-08/

1. The logarithmic generalised Kummer locus and its tropicalisation
2. On the conjectural Hodge index theorem for finite quotient spaces of singular varieties
3. Counterexamples to the Ambro--Kawamata effective non-vanishing conjecture
4. Dolbeault Cohomology Growth under Curvature Rank Bounds
5. The finite-degree profile of essential dimension II: cyclic $p$-groups in characteristic $p$
6. Projective Lifting Theorem, Complex Reflection Groups, and Quasi-Galois Points for Fermat Varieties
7. Anticanonical Volumes of Terminal and Canonical Gorenstein Fano Fourfolds
8. Construction of log Calabi--Yau boundaries from int-amplified endomorphisms
9. Effective nonvanishing of $K$-trivial regular surfaces over imperfect fields
10. Rational points and inflexions on Hermitian-relative curves
11. Motivic Euler characteristics of moduli spaces of curves
12. Ax-Schanuel and the rank one Riemann-Hilbert correspondence
13. Equivariant Unirationality of Cubic Threefolds
14. A combinatorial criterion for detecting roots of Bernstein-Sato polynomials
15. Totally invariant subvarieties of $\mathbf P^n$
16. Generalised Cone Conjecture, III: Non-generic Sakai surfaces
17. Counterexamples to the Polishchuk--Van den Bergh conjecture on curves
18. Minkowski decompositions and universal equivariant deformations of toric pairs
19. Transverse rational curves and the LeBrun--Salamon conjecture
20. A reduction theorem for L\^e's conjecture
21. Abundance for threefolds in positive characteristic
22. Combs and complex structures on the six-sphere
23. The rationality problem for hypersurfaces of degree at least five
24. Sharp Polynomial Upper Bounds for Anticanonical Volumes
25. Automorphisms of general modular curves
26. Fundamental groups of Calabi-Yau spaces
27. Log-concavity and unimodality of cluster monomials in fan coordinates of type $A_n$
28. Regular integral models of Shimura varieties and a conjecture of Pappas
29. Point-balanced arrangements in the real projective plane and the Hirzebruch property
30. The Hassanzadeh-Nasrollah Nejad-Simis Conjecture on Euler Conductors
31. The Geometric Arveson-Douglas Conjecture through Veronese Embeddings
32. Points and their multiples on curves in powers of simple abelian varieties
33. Intersecting a curve in an abelian variety with multiples of another curve

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-07/

1. A toric Calabi-Yau counterexample to Schimpf's connected stable pairs pole conjecture
2. Deformations of toric pairs and the smoothing of Batyrev Calabi-Yau threefolds
3. Determinacy and Modality in Positive Characteristic
4. Schubert compactifications of matrix pencils
5. Algebraic ellipticity of quartic double spaces
6. Potential density of rational points on sextic double solids
7. The finite-degree profile of essential dimension I: general theory and characteristic prime to $|G|$
8. Indexed Logarithmic Cartier Transform
9. Semisimplicity, purity and Mumford-Tate conjecture for hyper-K\"ahler varieties
10. Semiample perturbations over arbitrary fields
11. Hodge--Tjurina Numbers, Tjurina Spectra, and Thom--Sebastiani Formulas
12. On constructibility of klt type varieties and simple $D$-module
13. Special Loci in the Moduli of Curves
14. On plane Cremona maps of degree 4 and length 2
15. Geometry of a semistable degeneration of moduli of vector bundles on curves
16. Derived supergeometry and perfect obstruction theories on algebraic superstacks
17. Xiao's Degree-Four Fibration and the Polizzi Model
18. The unbearable projectivity of being a good moduli space of Gorenstein curves of genus one with non-colliding markings
19. The Kuranishi space of joint deformations of Calabi--Yau manifolds and holomorphic vector bundles
20. Densities of Picard Rank Jumps for K3 Surfaces Over Global Fields
21. $\mathcal C^m$ solutions of semialgebraic equations on curves
22. Geometry of massive loops in gravitational scattering: Maximal cut, Riemann's bilinear relations and genus drop
23. Discreteness of real $\mathrm{SL}_n$-opers
24. Diagonal Specht ideals and their varieties
25. Truncation of dg categories and connective resolutions
26. The Artin-Davenport conjecture on cubic forms
27. From Demailly's Inequality to Harbourne--Huneke Containments for General Points
28. Can one hear the shape of a lattice random walk?
29. Algebraic Eisenstein classes for $\mathrm{GL}_n$ with applications to the Bianchi case
30. Decoy and disclosure radii of invariant shape descriptors
31. Explicit tensors beyond the linear flattening barrier

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-06/

1. Doubly isolated Batyrev mirror pairs and non-smoothable Calabi-Yau threefolds
2. Flasque resolutions of linear reductive group schemes
3. Stability of the Cotangent Bundle on Surfaces with Ample Canonical Class
4. From wall structures to closed mirror symmetry. The case of $K_{\mathbb{P}^2}$: Renormalized periods over the positive real locus, closed Gromov-Witten invariants from wall functions, and tropical enumeration
5. The topology of K\"ahler manifolds and 1-forms without zeros
6. Core Coordinates and Negative Support in A-Hypergeometric Systems
7. Zero loci of Bernstein-Sato ideals are not necessarily linear
8. On leading Gopakumar--Vafa invariants of local $\mathbb{P}^2$ and leading Betti numbers of moduli spaces of one-dimensional sheaves on $\mathbb{P}^2$
9. Fake quadrics with bounded cohomology property
10. Decomposition of toric sheaves
11. Subspace concentration condition and Bogomolov--Gieseker inequality
12. Cyclic automorphisms beyond the canonical bound
13. On the classification of polarized surfaces with weakly Ulrich or initialized aCM tangent bundles
14. Code Equivalence and Automorphism Groups of Weighted Superelliptic Codes
15. Relative completions and separating boundary divisors in moduli of curves
16. Counting higher-rank sheaves on toric threefolds
17. Uniform positivity of the tau invariant
18. The commuting scheme of $\mathfrak{g}_2$
19. Weak approximation for Campana points on projective spaces
20. Ramification of the volume function close to asymptotic hyperplanes. Monodromy of boundary singularities
21. The Supertrace Defect of a Graded Endomorphism
22. Log Sarkisov Program for strongly $\mathbb{Q}$-factorial compact K\"ahler threefolds
23. Algebraic entropy of birational automorphism groups in families of hyper-K\"ahler manifolds
24. K-unstable Toric Varieties and Secondary Polytopes
25. Semicontinuity for families of power series II
26. Varieties Admitting Polarized Galois Endomorphisms
27. Generically Flexible Varieties with an Invariant Divisor
28. A natural Chow lemma for smooth threefolds and fourfolds
29. Centralizers of elements in the orthogonal, symplectic and unitary groups
30. Tame Discrete Sets on Affine Semisimple Homogeneous Spaces
31. Sharp bounds and gap phenomena for large $p$-subgroups of automorphism groups of curves
32. A Quadratic Bound for Automorphism Groups of Curves of Positive $p$-Rank in Odd Characteristic
33. Boundedness of minimal modifications
34. The Prym-Green conjecture in even genera up to 30
35. Generic Hodge and special Hodge--Witt polygons
36. Bi-Lipschitz invariance of the transverse polynomial along polar arcs
37. A proof of GW/DT4 conjecture on local projective plane
38. Lifting negative curves from finite fields and Seshadri constants at ten points
39. Classification of low degree del Pezzo orbifolds II
40. Simpson filtrations and closure relations of Hodge moduli spaces
41. $\mathbb{A}^1$-connectedness of moduli of semistable bundles and symplectic bundles on a curve
42. ON THE DISTANCE TO DISCRIMINANTS AND OSCULATING VARIETIES
43. Borel subgroups of the automorphism group of an affine variety
44. A quantum connection approach to rationality
45. Suciu's Conjecture on hyperplane arrangements
46. Spreading out perverse sheaves
47. Higher Braided Mixed Sums, Intersection Lattices, and Symplectic Four-Manifolds
48. SU($N$) QCD, four-manifolds and Segre numbers
49. Moments and Large Geometric Monodromy for Linearly Constrained Kloosterman Families
50. Restrictions of the dot action representation
51. Sequential exponential-motivic periods in spatially cut-off $\phi^4_2$
52. Iterated cotangent-difference integrals over totally real cyclotomic fields
53. Combinatorics of Mirkovi\'c-Vilonen cycles in twisted affine Grassmannians
54. Slope Stability for ${\mathbf Z}_p$-Towers of Curves
55. The Riemann theta function near soliton limit
56. Automorphic commutator relations in relative geometric Langlands
57. Classification of reductive monoids
58. On the DML(1) property for regular endomorphisms of affine spaces: multiplicities of points at infinity
59. A proper arithmetic surface with infinite \'etale fundamental group
60. The Lebrun--Salamon conjecture is true in dimension up to 56
61. A Bogomolov property for moduli spaces of polynomials over abelian extensions
62. Descartes' rule of signs for arbitrary fewnomial systems
63. Degeneracy loci and unlikely intersections in abelian schemes
64. Symplectic symmetries of a hypothetical exotic $CP^2$: a potential construction or a nonexistence proof

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-05/

1. On deformations of foliated complex analytic structures II: Functors of Artin rings
2. On wall-crossing invariant combinations of Welschinger numbers for rational surfaces with a conic bundle
3. The Mumford--Tate group of a very general Lagrangian fiber
4. Regularization and algebraic stability of birational automorphisms
5. Sharp FRS and singularity thresholds for off-diagonal Gram maps
6. Pappas's conjecture on ramified unitary local models
7. Sharp Noether-type inequalities for $3$-folds of intermediate Kodaira dimensions
8. Grothendieck ring of varieties and at-the-characteristic numerical invariants
9. Arakelov inequalities for fibered surfaces in positive characteristic
10. Categorical Dynamics of Abelian Varieties
11. Extension of solvable coverings across horizontal divisors over the integers
12. Canonical extensions of ruled surfaces over elliptic curves
13. Multiplicativity of the perverse filtration in the $\mathrm{SL}_n$ case
14. Ample stability implies rigidity for quiver moduli
15. Betti Numbers of Odd Biisotropic Symplectic Grassmannians
16. K-stability of a class of smooth Fano complete intersections
17. Mond's conjecture for corank-one maps from $\mathbb C^3$ to $\mathbb C^4$
18. Super Teichm\"uller Space
19. Quantum cohomology, Hitchin systems, and Fourier--Mukai comparison
20. Simpson's closedness conjecture in arbitrary rank
21. Rationality of varieties and $\mathbb{A}^1$-homotopy theory
22. Mirror symmetry for gCICY threefolds (II): $[3,-1]$ blocks, VGIT, and toric phases
23. Mirror symmetry for gCICY threefolds (I): a $[3,-1]$ block and a non-Gorenstein toric phase
24. Small Lefschetz fibrations on the BMY line
25. Non-Malleable Affine Extractors with Small Error and Complexity Lower Bounds
26. some arithmetical aspects of the two dimensional jacobian conjecture
27. Cohomology of Linearly Constrained Kloosterman Families: Newton Polytopes, Weights, and Boundary Monodromy
28. Cubic arithmetic-geometric mean and isogenies of Hesse elliptic curves
29. Pellarin's Identity, Carlitz Period, and Anderson Generating Functions over Arbitrary Curves
30. Equivariant Poincar\'e polynomial of type B Wonderful Models
31. Quillen's finiteness conjecture for the cotangent complex in characteristic two
32. A Matsushima theorem, uniqueness and K-polystability for K\"ahler-Ricci shrinkers

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-02/

1. Direct Group Laws on Classical Genus-One Models
2. Categorical Torelli theorem for (weighted) hypersurfaces via singularity category
3. Completed cycle transfer and the conifold gap for (P^2, E)
4. A characterization of the Ree curve
5. All Genus Gopakumar-Vafa Reconstruction from Central Difference Forcing
6. Pentagram relations
7. Derivative and multiplicity loci of elementary symmetric polynomials in positive characteristic
8. Contraction Algebras, Cyclotomic Forms, and Reflection Rigidity
9. Motivic Vanishing Cycles at Infinity and Toric Landau-Ginzburg Mirror Symmetry
10. Transcending Algebraic Geometry
11. A Pluripotential-Theoretic Approach to Finiteness of Polarized Calabi--Yau Manifolds
12. Stratification of Joint Moduli Spaces of Higgs Bundles
13. Supermoduli spaces are non-projected in every genus $g\geq 3$
14. Automorphisms of hypersurfaces in polarized varieties
15. Verdier-Type Category, Geometric Serre's conditions and perversity
16. An elliptic Calabi-Yau threefold of Mordell-Weil rank twelve
17. Abeloid varieties over higher rank valued fields: Raynaud uniformization and N\'eron models
18. Stability of representation cohomology sheaves on moduli spaces of bundles
19. Conifold factorization in topological recursion and Gromov--Witten theory
20. An explicit form of the standard conjecture of Hodge type for Hermitian varieties, with $p$-adic applications
21. Dihedral reflections and an infinite series of irrational Seshadri constants
22. Cohomology of the fine compactified universal Jacobians $\overline{J}_2$ and $\overline{J}_{2,1}$
23. Euclidean Distance Optimization Within the Grassmannian
24. Quasi-modularity of $q$-traces and integrals over Hilbert schemes
25. GW/PT-correspondence for CY 4-folds-I: Canonical Orientations
26. The Nash manifold of four-point configurations modulo similarity subgroups
27. Higher-Page Jacobian and Albanese Tori
28. Intrinsic semistable reduction loci for the iterations of non-archimedean quadratic rational functions and moduli-theoretic applications
29. Two-Line Elimination and the Weierstrass Group Law in Arbitrary Characteristic
30. Oka Geometry and Deformations of Torus-Fibred Complex Six-Spheres
31. Frobenius multiplicities and F-signatures of Grassmannians of two-planes
32. No Shortcuts to Infinity: Weil-Petersson Distance in Calabi-Yau Complex Structure Moduli Space
33. Monge-Amp\`ere degenerations and conifold contractions in Fujiki class $\mathcal{C}$
34. Algebraic limits of Hermitian-Yang-Mills connections on K\"ahler surfaces
35. The Comon Rank Gap of a Third-Order Symmetric Tensor Can Exceed One
36. Harmonic Norms on Quiver Representations over Non-Archimedean Fields
37. Uniform estimate of Lang-Weil type for counting points of schemes over finite rings
38. Complex hyperbolic surfaces whose closed geodesics are all simple
39. The Derived Algebra of Nonlinear Polynomial Divergence-Free Vector Fields
40. Quantum hierarchies of the ILW and BO equations and the DR cycles on the moduli spaces of curves
41. Matroid liftability and Oxley--Wang derived matroids, with connections to scene analysis
42. Mumford--Morita--Miller classes in generalised cohomology theories
43. Quadrangles entangled in conic nets
44. Rotation fixed points of undecorated braid varieties and fusion rings of affine Lie algebras

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-01/

1. Complex structures on $S^6$
2. Zero velocity Lagrangians in the Hitchin system
3. Intrinsic mirror symmetry for orbifold cubic surfaces and the $A_1$ spherical DAHA
4. Finite automorphism groups of hypersurfaces via Bott vanishing
5. The Bias Conjecture for One-Parameter, Non-Isotrivial Elliptic Curve Families
6. Supersingular Tate conjecture for irreducible symplectic varieties of known types: I
7. Divisors and harmonic morphisms on metric Graphs of pseudocompact type
8. On algebraic dynamics of birational automorphisms of Calabi-Yau manifolds and the universal Coxeter groups
9. Quasi-Projectivity of Weighted Right-Angled Artin Groups
10. Canonical representatives and interval independence in Ekedahl's equivalence
11. Normal Bundle Splitting Strata of Rational Curves in Toric Varieties
12. Quivers variety for affine orthogonal quiver
13. Non-commutative Fano varieties and three-dimensional minifolds
14. Potential isotriviality of isocrystals and proper covers
15. On the quadratic length of plane Cremona maps of degree 4
16. A rational surface with discrete and non-finitely generated automorphism group
17. Structure of higher-genus open-closed Gromov--Witten theory of $\mathcal{O}_{\mathbb{P}^{1}}(p-1)\oplus\mathcal{O}_{\mathbb{P}^{1}}(-p-1)$
18. Symmetric-determinant apolarity in odd characteristic
19. Conformal blocks for modular vertex algebras
20. A combinatorial interpolation between the hypercube and the associahedron
21. Compact multi-monopole moduli spaces on K\"ahler surfaces
22. Prime Ideals and Projective Closure in the Boolean Polynomial Semiring
23. Profinite completions and cohomology jump loci
24. On the coefficients of the asymptotic of analytic torsion
25. Singularities of orbit closures in loop spaces of symmetric varieties II: twisted cases
26. Limit F-invariants of the simple singularities and the Fermat hypersurfaces
27. Limit distribution of algebraic integral points on curves
28. A Thomas-Yau-Joyce result for Lagrangian spheres in K3 surfaces
29. Invariant Shape Analysis of Surfaces with Spherical Topology
30. Type I estimates for the Kahler-Ricci flow I
31. Unipotent representations and the categorical trace of Frobenius
32. Atkin--Lehner Quotients of Modular Curves at Primes of Bad Reduction
33. Matsumura's extension problem for pluricanonical forms in K\"ahler families I: the smooth and essentially Moishezon cases

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-30/

1. Finite generation of relative log canonical algebras of semi-dlt pairs
2. Global Sections and Birational Geometry of Calabi-Yau Type Varieties
3. Realizability of Cohomology Classes in Orthogonal Grassmannians
4. Rigidity conditions for binomials
5. Calculating Hodge and weight filtrations on localizations
6. Vanishing of degree $3$ unramified cohomology over finite fields
7. Motivic classes of Fano schemes of lines on intersections of two quadrics
8. The $F$-signature Function on the Big Cone
9. Failure of semipositive metric extension in a smooth projective family
10. Finiteness of the Chow ring of $\mathcal{M}_{5,10}$
11. Nonexistence of maximal curves of genus five over $\F_{64}$
12. From $3$-spin to Negative $r$-spin: Limits of Cohomological Field Theories and Tautological Relations
13. Voevodsky motives and motives with modulus with finite coefficients in characteristic zero
14. Jump of the Milnor Number in Linear Deformations with Fixed Order
15. Rationally connectedness and O'Grady's generalized Franchetta conjecture for K3 surfaces
16. Degenerations of shifted symplectic moduli stacks of sheaves
17. Arakelov inequalities and characterization of totally geodesic ball quotients in $\mathcal{A}_g$
18. Weighted projective spaces admitting $\mathbb Q$-Gorenstein smoothings to $\mathbb P^3$
19. Weighted projective spaces admitting $\mathbb Q$-Gorenstein smoothings to Fano threefolds with Picard number one
20. Some applications of the moduli space of $U\oplus D_8(-1)$-polarized K3 surfaces
21. Fano orbifolds admit free Campana curves
22. On the Hilbert polynomial of the linked projective space
23. Exceptional Loci and Hyperbolicity of Complements of Plane Curves with $\bar{c}_1^2 - \bar{c}_2 > 0$
24. Isotropic localizations of mixed initial motives
25. Mordell--Lang plus Geometric Bogomolov
26. Deep Points of Cluster Algebras II: Punctured Marked Surfaces
27. The opposite of admissibility for local systems on line arrangements
28. Solver Agent: an Agentic AI Framework for Theoretical Physics Computations Applied to F-theory Uplifts of O3-planes and S-folds
29. Topological Band Theory for High-Dimensional Parameter Spaces
30. p-adic Rigidity and Supercongruences at Rank Two Attractors
31. On Vojta's harder implication, height inequalities for admissible pairs, points of bounded degree and Deligne-Mumford stacks
32. Stable rational cohomology splitting of moduli of branched covers of curves
33. Six functor formalisms via internal higher algebra
34. Schreyer Resolutions over the Exterior Algebra
35. Characteristic-free Kn\"orrer periodicity
36. The WittVectors package for Macaulay2
37. Dolbeault-Hochster Theory of Polytopal LVM Manifolds
38. Dynamics on projective K3 surfaces: Herman rings
39. Diagrammatic construction of GKZ systems for polygonal functions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-29/

1. Recovering curves from isogeny classes of Prym varieties
2. A construction of polyptych lattices via a pair of Gorenstein PL cones
3. Riemann-Roch for 0-cycles on a singular variety
4. The moduli space of torsion-free sheaves with quasi-maximal third Chern class
5. Weak positivity and weak flatness of vector bundles
6. Large automorphism groups of curves of zero $p$-rank in odd characteristic
7. Landau--Ginzburg mirror symmetry for ADE singularities
8. Equivariant principal bundles over toric Deligne--Mumford stacks
9. Coordinate descents, monodromy, and finite normalization of marked-root maps
10. On the algebraicity of non-abelian Noether-Lefschetz loci of rank-two real local systems
11. A generalized Terao Conjecture for line arrangements
12. Uniform Unicellular Dessins d'Enfants with Trivial Automorphism Groups
13. Full termination of MMP for klt pairs with big boundaries
14. Obstructions to the ampleness of invariant jet differentials on complete intersections
15. Equivariant Riemann-Roch for Surfaces via Connections and Residues
16. A two-parameter family of complex structures on $S^6$
17. Perfectoidness of Proper Shimura Varieties With Limpid Integral Models
18. Qin's quasimodularity conjecture for Hilbert schemes of points
19. On the generalized Ree curve
20. The monodromy of Xiao's genus-two fibrations in degrees 3, 4 and 5
21. Gauss--Manin connections extend to holonomic coadmissible D-cap-modules
22. Log Calabi-Yau wall crossing for moduli of cubic surfaces
23. Higher dimensional local class field theory
24. Connectivity of the slice filtration
25. Large cyclic automorphism groups and cyclic subgroups of index two in characteristic two
26. On the De Rham Cohomology of Zero-Dimensional Schemes
27. On deformations of foliated complex analytic structures I: Theorems of existence and completeness
28. Degeneration of Calabi-Yau threefolds with Galois action induced by modular form of weight 3
29. Artin vanishing along the $\ell$-adic tower of an abelian variety
30. Maximality and configuration spaces on real algebraic curves
31. Quasi-$F$-split primitive symplectic varieties in positive characteristic
32. Equivariant multiplicities and torsion at attractive fixed points
33. Algebraic Dimension and Reduction of LVMB manifolds
34. Integral Bott--Chern cohomology of Generalized Calabi--Eckmann threefolds
35. Global log canonical thresholds for Burniat surfaces and some infinite families of surfaces of general type as $\mathbb{Z}_2^n$-covers
36. On orbits of the automorphism group of toroidal spherical varieties
37. Abelian canonical covers of minimal rational surfaces and $\mathbb F_1$ up to degree $8$
38. A uniform lower bound for the Zhang-Kawazumi invariant and applications to the Bogomolov conjecture
39. Torsion proliferation
40. Very sparse return sets in arithmetic dynamics
41. Bernstein--Sato ideals might not be linear
42. Symmetric Branching via Laurent Phenomenon Algebras
43. Stacky Heights, Entropy, and Zeta Functions of Weighted Hypersurfaces over Finite Fields
44. The Moment Method for Computing Real Points of Sparse Polynomial Systems
45. Rigid and Nonrigid Isotropic Nef Classes on K3 Surfaces
46. Yet Another Family of Complex Structures on $S^6$
47. A Quadratic Lower Bound on Determinantal Complexity
48. Gros Topoi as Partially Lax Limits of Petit Topoi
49. A B\'ezout domain that is not an elementary divisor domain
50. Singular intersections in split semiabelian varieties

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-28/

1. Moduli Spaces of Twisted Endomorphisms and Euler Characteristics
2. The geometry of solutions to the general sextic
3. Fourier-Mukai partners and autoequivalences of moduli spaces of vector bundles
4. Symmetry and solvability: Galois groups of equivariant enumerative problems
5. Demazure Models of Algebraic Tori in Dimension 4
6. Cartier--Dieudonn\'e Theory of Connected Group Schemes
7. The norm principle for extended Clifford groups
8. Special Cohen--Macaulay sheaves on partial resolutions of rational surfaces singularities
9. On the support of double Grothendieck polynomials
10. Non-vanishing of the structure-sheaf cohomology of affine henselian schemes and henselian affinoids
11. Universal Formulas for de Jonqui\`eres Loci and Equivariant Contact Problems
12. On the transcendental Yau-Tian-Donaldson Conjecture
13. Fundamental groups of complements of wobbly divisors in intersections of two quadrics
14. Teichm\"uller and moduli spaces for complex nilmanifolds
15. Fourier duality on compactified Prym fibrations
16. Rational homotopy theory of flag manifolds
17. Photon spheres, elliptic surfaces, and Seiberg-Witten geometry
18. Revisiting three-dimensional GLSMs and K-theoretic I-functions
19. Nontransitivity of braid group actions on exceptional bases in $K_0(\mathbb{P}^n)$ for $n=4,6$
20. Profinite Non-Rigidity of Arithmetic Lattices and the K\"ahler Property
21. Completely monotone negative powers of hyperbolic polynomials
22. Formal groups and $(\varphi,\Gamma)$-modules

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-25/

1. Projective blowups: a formal and multicentered proof
2. Reducibility and Diagonal Equality Strata for Finite Jacobi Pencils
3. Congruence spectra and geometric reconstruction of $\boldsymbol{T}$-algebras
4. Bulk-deformed enumerative mirror symmetry for toric Fano surfaces
5. The GIT of 4x3x3 tensors (determinantal cubic surfaces)
6. Affine Spherical Mass and a Gaussian Kinematic Formula for Tropical Two-Fans
7. Non-smoothable Calabi-Yau threefolds from reflexive polytopes
8. Planar rank-one sheaves on $\mathbb{P}^3$, obstruction bundles, and divisor-supported Donaldson--Thomas series
9. Bondal--Orlov reconstruction for tame stacks with trivial generic stabilizer
10. Squaring Up by Selection: NP-Completeness at Three Simple Roots
11. A Strong Global Torelli theorem for OG6 type varieties
12. The Serre-Grothendieck Finiteness Theorem for the cohomology of coherent sheaves
13. Torelli theorems for moduli stacks and twisted moduli spaces of vector bundles
14. Ramification of the moduli map for hyperplane sections of K3s and hypersurfaces
15. Stringy Irregular Hodge Numbers for Non-Simplicial Toric Landau--Ginzburg Data
16. Cartan Determinants in algebraic geometry
17. On the Analyticity of Amoeba Contours
18. Beyond Harnack Rigidity
19. Compact Complex Threefolds Fibred by Two-Dimensional Complex Tori
20. Specht ideals for the imprimitive complex reflection group $G(r,1,n)$: geometric orbit types and a dominance theorem
21. A generalized Saito criterion, from line arrangements to curves
22. Uniform Tur\'an estimates and sharp bounds for degree and mixed orbit growth
23. An irregular smooth Fano fourfold in positive characteristic
24. A Hochschild-Kostant-Rosenberg type theorem for coherent matrix factorizations
25. A Secondary Multiplicative Structure on Lawson Homology
26. Geometry of Newton homotopies: bivariate case
27. Frobenius lifts and point counting for smooth curves
28. A Peterson program for general Schubert varieties and mirror symmetry
29. Equivariant bordism rigidity for toric manifolds
30. Algebraic Expressivity Certificates for Shallow Polynomial Neural Networks
31. Noncongruence cusp forms, Veech groups and enumeration
32. Toric Richardson Varieties and Slice Links
33. Matrix factorization of quotient singularities of type A and D
34. Ricci entropy, RCD structures and Kahler spaces
35. On the DML(1) property for regular endomorphisms of affine spaces: the $\mathbb{G}_m$-case
36. Singularity Analysis for the Perspective-Four and Five-Line Problems
37. Jordan Blocks, Differential Traces, and Colon-Ideal Noncontainment over Noetherian Quotients
38. An $n^2\log\log n$ Lower Bound for Permanent Circuits with Valid Division
39. Sparsity of rational points on torsion level covers of Hilbert modular varieties
40. A quasisymmetric analog of Grassmannian Schubert varieties

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-24/

1. A smooth quintic surface with 85 lines and Picard number 43
2. The non-abelian Hodge correspondence for extensions on quasi-projective curves
3. Euler characteristics of strata of $k$-differentials
4. Open extension of a genus zero Hurwitz-Frobenius manifold
5. Degrees and directional defects of embedded algebraic vector bundles
6. Linear Algebra and Algebraic Geometry: A Matrix Construction for Classifying Families of Algebraic Curves with No Solutions in Z^+
7. Harder-Narasimhan filtration of torsion F-gauges
8. The minimal volume of normal stable surface pairs with reduced boundary containing a zero-dimensional non-klt center
9. Rigid and obstructed tangent bundles on Calabi--Yau threefolds
10. Lengths of Hodge characters in Fermat varieties
11. Orbits in stability manifolds and categorical entropy: applications to varieties with finite Albanese morphisms
12. Landau singularities and convex geometry
13. A Topos-Theoretic Approach to the Logarithmic Cartier Transform
14. On the local theory of non-archimedean psh functions
15. Symmetric differentials on hypersurfaces in weighted projective three space
16. Non-algebraicity of Deligne--Hitchin twistor spaces
17. Searching Schemes With $p$-Adic Neumann Boundary Value Problems
18. The Tate conjecture for powers of abelian fourfolds and the Hodge conjecture for powers of CM fourfolds
19. 105 families of Fano threefolds in positive characteristic
20. $\mathbb{A}^1$-connectedness of moduli of vector bundles on a stacky curve
21. Constructing Rational Curves via Jets on Projective Varieties with Non-Nef Canonical Bundle
22. Ramond from Random: Weil-Petersson Volumes for Super-Riemann surfaces with NS Boundaries and R Punctures
23. $N=1$ Supersymmetry, Weil-Petersson Volume Recursion, and a Spectral Curve
24. A boundary-addition identity for Weil-Petersson volumes and their supersymmetric generalizations
25. Algebraically primitive Teichm\"uller curves in \Omega\mathcal M_g(2g-2)^{\mathrm{hyp}}
26. The Primitive Generalized Fermat Equation x^3+y^5=z^7: A computer-assisted proof
27. The number of Ekedahl-Oort strata intersecting the supersingular locus in the Siegel modular variety
28. Dimensions of permanental varieties in arbitrary size
29. On the normality of the commuting scheme
30. Uniform RC-positivity of tangent bundles
31. Resultant of an equivariant polynomial system with respect to the reflection group $G(r,n)$
32. Equality cases for matrix spaces with bounded-rank commutators
33. Generic $\mu$-power ideals, fat points, and symbolic powers
34. Symmetric group actions on the coordinate ring of the lower unipotent group and the polynomial ring with quantum parameters
35. Beyond the unique pair: a two-parameter family of rational triangles with equal perimeter and area
36. Derived Smooth and Banach Higher Groupoids: Representability and Descent
37. A 27 x 27 x 27 counterexample to Comon's conjecture
38. Delta Characters and Filtered Isocrystals
39. The J-equation at the birational minimal slope

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-23/

1. Local Logarithmic Cartier Transform
2. Principal Minors and Absolute Values
3. Existence of coarse moduli superspaces for Deligne--Mumford superstacks
4. The Lange-Stuhler Theorem via Gerbes
5. Equality and iso-duality of Generalized Geometric Goppa codes
6. An analytic construction of the universal moduli space of $\mathrm{SL}_r(\mathbb C)$-Higgs bundles
7. Symbols at infinity and Lie algebras of vector fields
8. A Fan Algorithm for Chow-Witt Rings of Smooth Projective Toric Varieties
9. Cuspidal Cubic Projective Foliations: Global Rigidity, Deformations, and Pull-Backs
10. Irregular Hodge Bundles for Deligne--Mumford Landau--Ginzburg Families with Fixed Pole Orders
11. $\mathbb{P}^1$ Homotopy Theory of Schemes
12. Two-flag degenerations and real circles tangent to three conics
13. Geometric Detection and Finiteness of Crystalline Local Systems
14. Bernstein-Sato ideals for free hyperplane arrangements
15. Irrational Seshadri constants from dihedral orbits
16. Tropicalization and degeneration of short flag varieties and their fibers
17. Uniruledness and the sign of total scalar curvature
18. Brill-Noether existence with secants
19. Bogomolov-Guan Manifolds are not formal
20. The dHYM equation on crepant resolutions of Calabi-Yau cones
21. A Polytopal Realization of Higher-Categorical Associahedra
22. A proof of the Eisenbud-Huneke-Ulrich conjecture
23. S-integrality for families of ordinary K3 surfaces and algebraicity theorems
24. A Bounded Degree SOS Plus SONC Hierarchy for Polynomial Optimization
25. Resultant of an equivariant polynomial system with respect to a direct product of $r$ symmetric groups
26. Type changing, compact generalized Calabi--Yaus
27. Ample vector bundles without Griffiths-semipositive metrics
28. A first-jet characterization of Griffiths positivity
29. p-curvature in non-commutative Hodge theory and the Kontsevich-Soibelman operad

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-22/

1. A codimension formula for intrinsic perturbation of $A$-hypergeometric series
2. Local monodromy, Behrend function and Hilbert scheme of points on $\mathbb{C}^3$
3. Maximal singular curves over finite fields from elliptic and hyperelliptic curves
4. Special valuations and automorphisms of affine log Calabi--Yau varieties
5. On the Rank of Normal Functions on Pointed Curves
6. Local cohomology with Schubert support on compact Hermitian symmetric spaces
7. On the gap between the integral and rational Gongyo indices of toric Fano varieties
8. A polynomial formula for the Albanese map of the Cartwright-Steger surface
9. Restricted monodromy containing transpositions
10. Semiampleness on Jacobian elliptic surfaces of Kodaira dimension one
11. Mordell--Weil groups of quasi-elliptic surfaces in characteristic 3
12. Bimeromorphic invariance of $\partial\bar\partial$-property and blow-up formulae I: counterexamples and derived category approach
13. Nondeformability of Moishezon manifolds with nonnegative Kodaira dimension
14. Freeness of Pluricanonical Linear System on Smooth Minimal n-folds of General Type
15. Frobenius splitting for Fano threefolds
16. Polynomial Volume Bounds and Effective Birationality for Log Calabi-Yau Surfaces
17. Fundamental Lemmas in Universal Resolution
18. A local cohomology obstruction to small Cohen--Macaulay modules
19. Trifocal Tensors in Three-View Geometry
20. Finiteness theorems for pseudo-coherent complexes on algebraic stacks
21. 2-step ideals and commuting matrices
22. The Generalized Lax Conjecture for Strictly Hyperbolic Polynomials
23. Untwisting the twisted character variety via a stacky curve
24. Conormal Rank of Subvarieties of Grassmannians
25. On Free and Nearly Free Conjecture of Rational Unibranched Projective Plane Curves
26. Magic positivity of Snapper polynomials for matroids
27. Boundedness of geometrically integral $\epsilon$-klt del Pezzo surfaces
28. Geometric index theorems for holomorphic foliations and curves
29. The Bourbaki Degree of Line Arrangements
30. Bad Reduction of Genus Two Curves with complex multiplication
31. Projectively induced K\"ahler--Einstein surfaces
32. Steinness of the Basic $\mathrm{GL}_n$ Local Shimura Tower in Odd Rank
33. Counting number fields with symplectic Galois group
34. Exact Quotients of Fresnel-Kummer Surfaces and Certified Biaxial Refraction
35. Gauge Origami of the Conifold $\times$ $\mathbb{C}$
36. Affine Harish-Chandra center in positive characteristic
37. Concave transforms and volumes of adelic line bundles
38. Blaschke Conjecture and Complex Geometry
39. Quantum modularity in refined topological recursion
40. Kodaira fibres and wrapped Floer cohomology
41. A fully faithful p-adic Riemann--Hilbert functor for filtered coherent D-modules
42. Complete classification of algebraically primitive Teichm\"uller curves in $\Omega\mathcal{M}_g(g-1,g-1)^{\mathrm{hyp}}$
43. Geometry around unramified CM points
44. Exceptional maps and abelian points in backward orbits

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-21/

1. Abelian Relations are Liouvillian
2. $K$-regularity for finite quotient singularities
3. A geometric approach to the density of rank-metric codes
4. Tangent bundles of Quot schemes of vector bundles on curves
5. Double shuffle relations via the Hodge defect
6. Bound of automorphisms of fibred surfaces in positive characteristic
7. On Fano varieties of index one that are linear sections of Grassmannians of lines
8. Bounds on automorphism groups of surfaces of general type with negative c_2
9. Irrationality of the first stabilization of a complex smooth cubic threefold
10. An equivariant version of Gabber's lemma
11. Orlov's rationality conjecture for surfaces
12. On the atomic decomposition of complete intersection in flag varieties
13. Alt's Problem
14. Products in absolute Hodge cohomology and mixed Hodge formality
15. Minuscule Relations in Quantum $K$-Theory of Flag Varieties
16. On intrinsic homological mirror symmetry for toric degenerations
17. Diagnosing Inconsistencies in 4d N=1 Gauge Theories with Explainable AI

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-18/

1. The Drinfeld associator and $A_\infty$ functors
2. Balancedness of Normal Bundles of Rational Curves in Grassmannians
3. A Quadratically Enriched Pushforward for Deligne--Mumford Stacks
4. Hypersurfaces containing involutive cones in projective symplectic spaces
5. Microlocal perverse schobers and Radon transform
6. Chow Vanishing and Motives of Cluster Varieties
7. The Bernstein-Sato Polynomial of the Hankel Determinant
8. Bounds for Codimension-One Components of Zero Loci of Bernstein-Sato Ideals
9. The unramified Grothendieck--Serre conjecture
10. On Logarithmic Poisson and De Rham Cohomology Groups of a Class of Inhomogeneous Divisors
11. A Survey on Pham-Brieskorn Varieties
12. Uniform Rost nilpotence and birational motives
13. Cartier crystals and dual-constructible $p$-torsion complexes
14. An exponential Lojasiewicz inequality for semi-Pfaffian sets
15. Classification of Automorphism Groups of Smooth Cubic Threefolds and Fourfolds
16. On the ACC for Minimal Log Discrepancies for Bounded Generalized Sub-Pairs
17. Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers I
18. The Hurwitz existence problem in prime degree
19. Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers II
20. The Last Picard Rank 1 Double-Mirror Calabi-Yau Pair?
21. Connecting families of curves
22. Morphism spaces on low degree hypersurfaces
23. K-theory of Matroids and Monoid Schemes
24. The Serre--Hochschild plane of a finite-dimensional algebra
25. Rogers--Ramanujan identities from the geometry of $X^a=Y^b$
26. Degree Growth of Iterates of Curves and Likely Intersections
27. Logarithmic--exponential preparation in sharply o-minimal structures

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-17/

1. Transitive automorphism groups of maximal curves
2. Xiao's Genus-Two Fibration: Branched Covers and Braid Monodromy
3. Bicomplex Characteristic Classes
4. Hodge integrals on admissible covers and tautological projections of Prym classes
5. On Logarithmic Donaldson-Thomas invariants for local Calabi-Yau $4$-folds
6. An elementary way to find a counterexample to the Jacobian Conjecture
7. Geometry of three--generated ideals in the plane
8. Toric vector bundles with trivial Chern class and flag decorations
9. Koszul Duality for Symmetric Algebras and Derived Loop Spaces
10. On the singularities and the Kodaira dimension of unitary Shimura varieties
11. Nodal deformations of hypersurfaces with an ordinary $m$-fold point
12. Virtual classes: An introduction with exercises
13. Deformations of Canonical Bundle for Smooth Weakly K\"ahler Morphisms
14. Pedal Curves of a Bicorn
15. On curves with one place at infinity
16. Monodromic Perverse Sheaves on Shifted Contact Stacks
17. Surfaces of general type with extremal cotangent dimension
18. Bertini's theorem for $F$-rationality is false
19. Relative cone of curves and extremal contractions of a successive blowup
20. Belyi's theorem: coverings, dessins, and fields of definition
21. $\mathbb{Z}$-Torus Exteriors and Small Knot-Surgery Four-Manifolds
22. On motivic cohomology of commutative C*-algebras
23. Flexible-body Modeling, Kinematic Identification, and Assembly Accuracy of Overconstrained Spatial Linkages
24. Effective Hecke eigenvalue equidistribution over the Atkin--Lehner subspaces
25. Only finitely many modular Jacobians are supersingular modulo a given prime
26. Gurtas Lefschetz Fibrations, Rational Blowdowns, and Exotic Symplectic Four-Manifolds
27. Unramified Geometric Iwasawa theory of function fields
28. Density functions for filtrations of graded ideals
29. Stable Trace Formula for Newton strata of Shimura varieties
30. On a conjecture of Browning and Sawin on random hypersurfaces with sign coefficients
31. A uniform effective Andr\'e--Oort result

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-16/

1. Schottky versus super Schottky in genus 4
2. On the Super-Schottky Ideal and Powers of the Classical Schottky Ideal for $g \geq 5$
3. Filtrations on Local Cohomology and Injectivity Theorems
4. Demailly's Inequality for Finite Sets of Points in Positive Characteristic
5. Nilpotent Jacobian maps in dimension three and stable tameness in block extensions
6. Punctured log Gromov-Witten theory of log modifications and double ramification cycles with target log variety
7. Arc-analytic functions on locally closed semialgebraic sets
8. Cartan-Fejer Gram Tomography and Flop Covariance for BPS Resummed Gromov-Witten Potentials
9. Generic Triviality of Linear Automorphisms of Complete Intersections
10. Mori dream fibers and the geometric generic fiber
11. Local obstructions to the surjectivity of spectral morphisms
12. A new degenerated second main theorem for meromorphic mappings with hypersurfaces
13. A Hodge module construction of relative Du Bois complexes
14. Jordan-H\"older theory for complementary polyhedra and moduli of parahoric Higgs torsors
15. Gopakumar-Vafa invariants and Macdonald formula II
16. Fundamental groups of proper algebraic stacks are finitely presented
17. Concise tensors with maximal symmetries
18. Small degree isogenies between conjugate principally polarized superspecial abelian surfaces
19. Whitney fold and cusp for algebraic surfaces, and singularities of discriminants
20. Minkowski Decompositions for Generic Infinitesimal Newton-Okounkov Bodies of Arbitrary-Degree External Tensor Products on Products of Curves
21. Equivariant Cohomological Crepant Resolution Conjecture for ADE-orbifolds
22. Extending Andreotti's proof of Torelli's theorem to nodal curves
23. Chern bounds and tangent geometry of polarized Calabi-Yau threefolds
24. Canonical differential equations for Feynman integrals from $\mathcal{A}$-hypergeometric systems in the Schwinger representation
25. Stability of closed leaves holomorphic foliations via torsion behavior of groups of germs
26. Number fields as curves over $\mathbf{F}_1$
27. Splice formulae for Poincar\'e series of integral homology spheres
28. On Strong Bi-Lipschitz Triviality of Deformations
29. Functions on Nilpotent Orbit Covers and Birational Geometry

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-15/

1. Stringy invariants for abelian character varieties
2. Degrees of Fano Quiver Moduli
3. A Log Canonical Counterexample to the Chen--Jiang Decomposition
4. Extensions and Segre stratifications over algebraic surfaces
5. Contact Rigidity and Comparison Kernels for Type A lci Schubert Varieties
6. Conifold Gap for the Quintic Threefold
7. The cylinder over the Russell cubic threefold is flexible
8. Motivic Steenrod algebra and Thom obstructions without desingularization
9. Theta-duality and Prym-Torelli for cyclic covers of hyperelliptic curves
10. Discriminants of Hermitian forms, maximal degenerations and Kontsevich's tropical approach to the Hodge conjecture
11. Torelli theorems for Quot schemes of vector bundles on curves
12. Holomorphic polyvector fields on toric varieties via Klyachko filtrations
13. Deformation invariance of canonical nefness in smooth Kahler morphisms
14. Blow-up formulas of Gromov-Witten invariants and virtual cycles under positivity conditions
15. Nagata's conjecture on a polynomial automorphism in positive characteristic
16. Phantom subcategories on blow-ups of Hirzebruch surfaces
17. Lagrangian fibrations on hyperkahler manifolds have no multiple fibers in codimension one
18. An arithmetic integrability result for codimension-one foliations on complex projective spaces
19. Nakajima-extremal Artin--Schreier covers of ordinary elliptic curves in characteristic $2$
20. Level structures on tropical abelian varieties
21. Geometric Invariant Theory for Affine Superschemes
22. Riemann-Roch Polynomials, MBM Classes and Poor IHS Manifolds
23. Torsion, Betti rank, and small points in semiabelian schemes
24. Ulrich Bundles on certain Grassmann Bundles Over Curves
25. Asymptotic Counting of Singular Fibers of Genus $g$
26. Noether's problem for $A_6$ and $A_7$
27. An algebraic comparison of $\widehat{\mathrm K}$-stability and $\mathrm K^\beta$-stability
28. Generic vanishing subschemes of codimension three
29. Harmonic sums and the Galois group of the Mellin-KZ difference equation
30. Polarized varieties without arithmetically Cohen-Macaulay bundles and section rings without graded maximal Cohen-Macaulay modules in characteristic zero
31. Small-Subgroup Criteria for Liftability of Automorphism Groups of Smooth Hypersurfaces
32. Algebraic hyperbolicity of very general hypersurfaces in projective spaces
33. A blowup criterion for regularity
34. Geometric realizations of Brauer classes on K3 surfaces from hyperk\"ahler contractions
35. Two proofs of the Cassels--Swinnerton-Dyer conjecture for cubic surfaces
36. The tautological ring of $M_{25}$ is not Gorenstein
37. Explicit invariants of the Suzuki and Ree groups in their function fields
38. Wasserstein Metric Normalization of Projective Cycle Spaces
39. GrassTop: Grassmannian k-mer Topology for Viral Classification and Phylogenetic Analysis
40. Dynamical uniform boundedness for unicritical polynomials and elliptic curves of large rank
41. Galois representations and modularity for twisted moments of Kloosterman sums
42. The structure of automorphism groups of zero-dimensional monomial algebras
43. The classification of some polynomial maps in dimension three
44. Polynomial corners in finite fields beyond the distinct-degree case
45. Hierarchical hyperbolicity, ball quotients, and the moduli space of smooth cubic surfaces
46. Elimination of Ren\'e Peschmann's 968 Remaining Hard Fibers for the Perfect Cuboid Problem
47. Ekedahl-Oort strata meeting the supersingular locus
48. Generating hypotheses along the motivic deformation
49. Hecke structure of quaternionic modular forms mod $p$
50. Sharp degree bound for rational proper maps from $\mathbb B^2$ to $\mathbb B^4$
51. Logarithm of the Universal Two-Valued Formal Group
52. Augmented singular cohomology, uniform matroids, and real-rootedness
53. The coherent KLR sheaf

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-14/

1. Algebraic loops, braids, and tropicalization
2. Poincar\'e duality for pro-\'etale $\mathbf{Q}_p$-local systems
3. Border rank lower bounds beyond weak border apolarity
4. Characteristic Classes of Adelic Vector Bundles and Applications
5. Siebert's formula for virtual pullbacks
6. Seshadri slope $\K$-semistability for the blow-up of projective space along a linear subspace
7. Torus actions on compactified braid varieties and polytopality of subword complexes
8. Holomorphic isomonodromic deformations of Higgs bundles: absolute lifting, spectral flatness, and nilpotent rigidity
9. Abundance theorem for log surfaces
10. Hodge-Deligne and Poincar\'e polynomials of $\overline{\mathcal M}_{1,n}$
11. Crepant resolutions of fiber products and Kummer fibrations of rational elliptic surfaces with non-reduced fibers
12. On symplectic aspects of $\mu$-equivalence of a class of isolated hypersurface singularities
13. The Chern character of a coherent sheaf on a smooth projective hypersurface
14. Data-Adaptive Grassmann Manifold Representations for Spatial Transcriptomics Alignment
15. Spectrum of singularities, analytic torsion and Calabi--Yau degenerations
16. Descent, Seminormalization, and Conductors of Sparse Profile Images
17. Equivariant $K$-theory ring of the affine Grassmannian as deformation to normal cone
18. All-Genus Open Mirror Symmetry for Toric Calabi-Yau 3-Orbifolds with Multiple Branes
19. Clifford Realizations of Hyperbolic Cubics
20. Non-archimedean Monge-Amp\`ere measures for toric metrics on subvarieties of toric varieties
21. Positivity properties of Schur classes
22. A Higher dimensional log Riemann--Hurwitz inequality and rigidity of covers
23. On Skabelund's Ray Class Field Covers of the Suzuki and Ree Curves
24. Categorical genus for log del Pezzo surfaces with cyclic quotient singularities
25. An adelic approach to the Kudla-Millson lifts over totally real number fields
26. Local-global principles for visibility of lattice points on parameterized curves
27. Elliptic $b$-Hurwitz theory and Jack heat trace
28. The Eisenbud-Huneke-Ulrich conjecture and bounds on minimal generators
29. Classification of torsion of elliptic curves over quintic fields

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-11/

1. Long range divided differences, clusters, and Graham-positivity
2. The Reye geometry inside the 64 lines of the Schur quartic
3. Torelli theorem for the product of moduli spaces of vector bundles over a curve
4. Perverse Euler Characteristics of Hermitian Locally Symmetric Spaces
5. Coupled Pklt Tuples and Varieties of Pklt Type
6. Graded Betti numbers of general curves of large degree
7. Divisibility and torsion in higher Chow groups over arithmetic fields
8. Openness of local properties in flat families of superschemes
9. Generic vanishing conjecture for divisors
10. Campana Rational Connectedness and Weak Approximation of Del Pezzo Orbifolds
11. A maximal function field of genus $17$ over $\mathbb{F}_{11^2}$
12. Maximality of the Hodge level for smooth weighted complete intersections of general type
13. Chern flow and Chern moment algebras
14. F-theory on K3 surfaces and orthogonal modular forms
15. The $E_6$ Restricted Hyperplane Arrangement and its $E_7$ Shadow: Weyl Transport on a Minuscule Bruhat Poset
16. A $p$-adic monodromy theorem for curves
17. Log-crystalline representations and $(\varphi, \Gamma)$-modules
18. Homogeneous Milnor fibers and Kato--Matsumoto bounds via simplicial multiwedges
19. On the bounded-conductor finiteness conjecture in equal characteristic
20. Commensurability Relations Between Deligne-Mostow-Thurston and Ghazouani-Pirio Monodromy Groups
21. Analytic Construction of Rational Curves on Fano Manifolds
22. Asymptotic $q,t$-Fuss--Catalan numbers for type $B$
23. Braided Multisections and Symplectic Four-Manifolds with the Rational Cohomology of $S^2\times S^2$
24. Analytic and Algebraic Oka-1 Approximation for Smooth Projective Morphisms with Rationally Connected Fibers
25. The asymptotic in Waring's problem over function fields beyond twice the degree

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-10/

1. From Closed to Relative Higher-Genus Gromov-Witten Invariants via Resurgent Functions
2. Secant varieties of flag varieties via Schur apolarity
3. Prime Fano fourfolds in classical and generalized Grassmannians
4. The algebraic geometry of 3-by-3 magic squares of squares
5. Automorphism groups of semi-rigid $T$-varieties of complexity one
6. Ulrich bundles on intersections of two quadrics
7. Representation Varieties of Stacks and Trace Maps
8. Determinantal Kernel Schemes of Matrix Nets and Applications to Positive Maps
9. Positivity of compact K\"ahler varieties admitting an int-amplified endomorphism
10. Automorphism groups and Homogeneous fibrations on projective varieties with nef anticanonical divisors
11. Reconstruction of Binary Linear Systems and Profile Geometry of Sparse Krylov Strata
12. The Elusive Relatively K-Unstable Delzant Octagon: A Numerical Search
13. Frobenius--Cartier duality via lax equalizers
14. Stable irrationality of quartic sixfolds
15. Categorical reconstruction of del Pezzo surfaces: Hochschild--Serre algebras and spinor modifications
16. Birational cubic fourfolds via an Enriques Cremona transformation
17. When Finite Free Curves Split
18. An orbifold formula for algebraic stacks
19. Neutral components of automorphism groups of (semi)rigid affine varieties
20. Pierce-Birkhoff conjecture is false
21. Deformation families of open Calabi-Yau manifolds and Steinness
22. On Two Open Problems by Johnson and Koll\'ar
23. Difference Equations for Local Gromov-Witten Potentials of Threefold Flops
24. The real quotient of the Cartwright-Steger surface
25. Triple intersections for algebraic curves on the real torus
26. Quantum Elliptic Cohomology From Four-Dimensional Minimal Supersymmetric Gauge Theories
27. Generic Manin-Mumford
28. Lefschetz properties for monomial complete intersections
29. Deriving Newton's Canonical Forms of Cubic Curves via the Center of Polynomials
30. A general endomorphism of $\mathbb{P}^k$ has trivial iterated centralizer
31. The Oka principle for \'etale Chow groups
32. Unramified Motivic Alternating Multiple Mixed Values
33. Meromorphic solutions of first-order differential equations with rational exponential coefficients
34. Faltings' Isogeny Theorem via Equidistribution
35. On the syntomic regulator of the Hesse cubic curves and $p$-adic hypergeometric functions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-09/

1. Tame polynomial automorphisms
2. Coarse moduli of motivic augmentations
3. On endomorphisms of affine spaces and the Jacobian problem
4. Mutation Sequences along Weaves and Amalgamation of Braid Varieties
5. Open-closed duality in higher genus and winding
6. Relative Geometric Invariant Theory: Reductive and Non-reductive
7. Boundedness of Stein degrees in positive characteristics
8. Probability-theoretic interpretation of degeneracy locus formulas
9. Tropicalization of Fock's inverse spectral transform
10. Polynomial point counts for moduli spaces of curves with marked points
11. Monodromy Eigenvalues of Milnor Fibers for Line Arrangements
12. The Constant in Thomae-Type Formulas for Eight Points on the Complex Projective Line
13. When is a polynomial in three variables cylindrical?
14. Disconnectedness of the Hilbert Schemes of $E_6/P_6$
15. Permutation Representations on Cohomology of Toric Varieties
16. Microlocalization and singular supports of constructible \'etale sheaves
17. Transversely projectively flat foliations
18. Kobayashi Hyperbolicity of General Surfaces via the Poincar\'e Problem
19. On the existence of smooth varieties of any dimension carrying no Ulrich bundles for some very ample line bundle
20. Automorphism Groups of Smooth Cubic Fourfolds through Lattice Theory
21. Hasse Obstructions to Rationality for Special Fourfolds
22. On the Brill--Noether Theory of Sheaves on Regular Surfaces
23. A unified family of counterexamples to Batyrev's non-negativity conjecture on stringy Hodge numbers
24. Polynomial Lower Bounds for Anticanonical Volumes of Weak Fano Surfaces
25. Cyclic Spectral Data
26. A note on compact K\"ahler varieties with pseudo-effective tangent sheaf
27. Fano Generalized Bott-Samelson Varieties
28. Resolutions of linear $p$-cyclic quotient singularities
29. Group action of Hochschild-Serre algebra and categorical reconstruction
30. Wedderburn decomposition of Twisted skew abelian group algebra
31. Chow Quotient Moduli Space of Dynamical Systems on the Projective Line and Rescaling Limits
32. Logarithmic $A_{\mathrm{inf}}$-cohomology, Part II
33. $F$-nilpotence and Hodge filtrations beyond isolated singularities
34. Nakano-positive determinants outside the Hodge-Riemann cone
35. Equivariant compactifications of a unipotent group by a smooth projective horospherical variety of Picard number one
36. Negative contacts in genus one: a comparison of punctured and root stack Gromov-Witten theories
37. Intrinsic Restriction Traces and Toric Dynamics
38. Hilbert schemes of low-degree rational curves on a prime Fano threefold of degree $22$
39. A Perfectoid Pro-\'Etale Lie Torsor Can Have a Non-Surjective Sen Map
40. Cohomological Hall algebras and Quot schemes of curves
41. The contraherent version of the theorem of Slavik and Stovicek
42. On the $a$-number of Fermat type function fields and some of their subfields
43. Singularities of totally invariant hypersurfaces of endomorphisms
44. The derived length of subgroups of the Cremona group
45. Derived invariance of Hodge numbers for smooth projective complex fivefolds with $K_X = 0$
46. Automorphisms of toric varieties and Gale duality
47. Quasi-algebraic quantization for the B-twist Langlands TQFT
48. Unramified cohomology and Brauer--Manin pairing
49. On the size of the fibers of a morphism of algebraic varieties
50. The border Waring rank of $x_1\cdots x_n$ is $2^{n-1}$
51. Vector Bundles of Coinvariants for Admissible Affine Vertex Operator Algebras
52. Holomorphic Maps from $\mathbb{C}^p$ into Semi-Abelian Varieties
53. Pairings on the algebra of Laurent series over a ring
54. Exactness of the 2-categories of abelian and triangulated categories
55. A hereditary theorem for rigid and pseudorigid components of Lusztig's nilpotent varieties in type $A$
56. Constructing the Monopole Formula for $A$-Type Good Quivers via Quiver Yangians
57. Frobenius dilation of Hilbert function, Demailly's conjecture, and varieties of powers
58. Mirror Counts of Spectral Curves
59. Generic reconstruction of rational maps from multipliers of periods one and two
60. Big and nef cohomology classes on compact K\"ahler spaces
61. $q$-Oper Structures on a Formal Punctured Disc
62. A Note on Binary Quadratic Systems and their relation to complexity theory
63. Relative $(\varphi, \Gamma)$-modules and $p$-adic differential equations
64. Kontsevich-Zagier conjecture for Hensel-minimal fields with sections
65. A geometric Jacquet--Langlands correspondence for Shimura varieties
66. Shifted Contact Structures on Exact Symplectic Fibrations
67. Matchings and Clusters on Plabic Fences
68. A numerically flat rank-two bundle without a holomorphic connection on a $\partial\bar\partial$-threefold
69. Set-valued tableaux and cells of Gelfand-Zetlin polytopes
70. The V\'amos Matroid Has No Second Symmetric Power
71. Rational functions over finite fields with Galois closure of genus zero
72. Catalan-many tropical morphisms to trees; Part II: A space and a count
73. The Archimedean place is a blurred interval at infinity

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-07/

1. On the torsion in the Chow motive of an Enriques surface
2. Cohomology on Cotangent Bundles of Partial Flag Varieties in Type A
3. Heisenberg Equivariant Compactifications of Rational Homogeneous Varieties
4. Moduli of Conics on General Plucker Linear Sections of Grassmannians
5. q-Opers and Quantum/Classical Duality Beyond Type A
6. Relative Brauer groups and Kummer Sequence without characteristic constraint in $fppf$-topology
7. Superconnections, descent, and monodromy on transversely holomorphic foliations
8. Legendrian families of lines on nilpotent orbit closures
9. Parahoric motivic Hecke categories in equal and mixed characteristic
10. A flatness criterion for pseudo-effective sheaves on compact K\"ahler spaces
11. Semiorthogonal decompositions for families of twisted flag varieties
12. Filtrations on D-modules and multiplicities of roots of Bernstein-Sato polynomials
13. Coleman Isomorphisms in Syntomic Cohomology and $\mathrm{THH}$
14. Positivity of Smooth Currents on Singular Spaces
15. The Weighted Walks in Quadrant with Finite Groups: an Algebro-Geometric Approach
16. Deformations of K\"{a}hler and Balanced Hyperbolicity
17. The coordinate ring of the k-fold iterated commutator locus for 2x2 matrices

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-04/

1. Artin-Schreier geproci configurations in projective spaces of arbitrary dimension
2. Equilibria for Networks of Linear Translational Springs
3. Experiments with membranes, maps and sheaves
4. Some generalizations of Oort's conjecture
5. Characteristic-free characterizations of projective space for smooth toric varieties
6. Log canonical models of a fixed variety with varying boundaries
7. Grassmann--Pl\"ucker Parametrization of Convolutional Filter Subspaces: Regularity and Closed Embeddings
8. A note on the noncommutative Hodge conjecture for graded matrix factorizations
9. New bounds for the support of input-output equations in differential-algebraic systems
10. A Polynomial PDE Criterion for the $-n/d$ Root of the Bernstein-Sato polynomial of Homogeneous Ideals
11. Characterizing Contractions and Weighted Blowdowns
12. An obstruction to the maximal singularity of the Hilbert scheme of points on threefolds
13. Oort's conjecture for split unitary Shimura varieties
14. Log-concavity and unimodality of Hodge numbers of Hilbert schemes of points over a surface
15. An upper bound for an exceptional automorphism group
16. Poincare Polynomials of Heavy-Light Hassett Spaces
17. Conical Defects in JT Gravity from BF Theory: Quantization, Fusion, and Weighted Moduli Spaces
18. Generalized Telescope Conjecture
19. The Lie group-Lie algebra correspondence in tangent categories
20. Relative approximation degrees and the henselian rationality problem over perfect fields
21. Stratification of Artin motives over local fields
22. Airy limit for the Jack process and topological expansion
23. Universal Pl\"ucker positivity and the Octopus inequality
24. Projective embedding of degenerating family of K\"ahler-Einstein manifolds with normal crossing limit
25. Additive diameters and covering complexity of irreducible representations
26. A note on bounded ratios

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-03/

1. A comparison theorem for relative regular holonomic D-modules
2. Essential Dimension and Faithful Rank of Finite p-Gerbes
3. A logarithmic Bogomolov--Sommese vanishing theorem on compact K\"ahler manifolds
4. Contact fundamental forms and adjoint varieties
5. Groups of Transverse Stratifications and the Hierarchy of Configuration Spaces
6. Degree of irrationality of abelian surfaces
7. Membranes and Maps
8. Nef Cones of Hilbert Schemes of Orthogonal Grassmannians
9. Finite Directional Coefficient Modules over Euler Fibers of $A$-Hypergeometric Systems
10. Flexibility of affine cones over blow-ups of weighted projective planes
11. Non-nef loci in mixed characteristic
12. Smooth Counterexamples to the Eisenbud--Schreyer--Weyman Ulrich Existence Problem
13. Characterization of Stanley-Reisner varieties by their automorphism group
14. Local dimension testing via quadratic obstructions
15. Finite extensions of abelian schemes and duality for commutative group stacks
16. On everywhere locally soluble varieties in families over toric bases
17. The bounded area class of negatively curved surfaces
18. Integrable Generators of Polynomial Vector Fields for Complex Classical Lie Groups
19. Asymptotics of holomorphic torsion on orbifolds and an equivariant arithmetic Hilbert-Samuel theorem
20. The Borovik-Cherlin conjecture holds in ACF
21. Frobenius Alexander quandles, knot colorings, and isogeny classes of abelian varieties over finite fields
22. A computational approach to maximum likelihood thresholds for colored Gaussian graphical models
23. The Hasse norm principle for $A_4$-quartic extensions of global function fields
24. Prescribed Lelong Numbers for One-Pole Green Functions on Complex Projective Space
25. Most $(0,1)$-polytopes are not normal
26. Estimating the number of real zeros of linear combinations of radicals of polynomials

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-02/

1. Calabi-Yau Threefold Singularities and their Universal Quilts
2. Nonexistence of degree two rational multisections of conic bundles over the plane
3. Thom series in negative relative codimension
4. A holomorphic (2, 2)-Theorem for Abelian varieties of CM-type
5. The Absolute Twistor Line and the Geometry of $\overline{\text{Spec}\, \mathbf Z}$
6. Weighted Syzygies of Pointed Curves
7. Infinite transitivity of tame groups of automorphisms of affine spaces
8. Hodge--Tate splitting and Akizuki--Nakano vanishing in positive characteristic
9. Bounded cohomology property on Jacobian elliptic surfaces with simplicial Mori cones
10. Deciding superellipticity and computing the Weierstrass normal form
11. An integral Hyodo--Kato isomorphism
12. Deformations of Compact Calabi--Yau and Fano Varieties with Isolated Singularities
13. Extended Abstract of Counting Divisorial Contractions with Centre a $cA_n$-Singularity
14. Isoperimetric Problems on cyclic polygons
15. On Algebraic Integrability of Vector Fields with Rational Function Coefficients that Separate Variables
16. Towards Categorical K\"ahler Geometry
17. Euler obstructions and Verdier specializations
18. Resultant multiplicity via projective degrees and applications to tensor eigenvalues
19. Openness of Fourier--Mukai loci for algebraic spaces
20. Virasoro Constraints for Orbifold Curves
21. Cohomology characters on the incidence correspondence
22. K-stability and birational rigidity of Fano 3-fold weighted complete intersections
23. Parabolic Lie algebroid connections on parabolic principal bundles over curves
24. Singularities of star cluster algebras
25. 144 real circles tangent to three conics
26. A linear bound for Fujita's freeness conjecture
27. Subleading Collinear Limits of Yang-Mills Amplitudes from Gravity
28. On a construction of hermitian metrics on holomorphic vector bundles
29. Exceptional points on Atkin--Lehner quotients
30. $A_1$ - Coulomb branches over finite fields and Selberg Character sums

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-01/

1. The Tate conjecture for abelian fourfolds over finite fields
2. Singular Points on Positroid Varieties and Planar N=4 Supersymmetric Yang-Mills Theory
3. Nonnegative conorms, regular matroids, and the tropical Schottky problem
4. Noncommutative Hourglasses II 1/2: Derived Category of Birational Linkage with Well-Formed Singularities
5. All genus open mirror symmetry for footballs
6. Ample vector bundles on non-proper schemes
7. Six-functor formalism for Kummer \'etale cohomology of log schemes
8. Quasimap critical cohomology, Coulomb branches, and quantum groups
9. The Picard number of fibred Mori dream surfaces
10. Infinitesimal Deformations of Generalized Parabolic Hitchin Pairs
11. Weil's Theorem for Logarithmic Connections on Irreducible Nodal Curves
12. Wall-crossing formula and genus-one Virasoro conjecture for Fano complete intersections
13. Birational Automorphism Bounds for General-Type Foliations on Surfaces via Pluricanonical Indices
14. Tropical Matsusaka and Matsusaka--Ran Criteria
15. Compactification of $\operatorname{SL}(3,\mathbb{C})$-Character Varieties of Surfaces via Skein Algebras
16. A Note On the moduli space of rank two vector bundles on Hirzebruch surfaces
17. Abundance of affine algebraic structures on stabilized cotangent bundles of surfaces
18. Kempe factorizations for rational curves on $\operatorname{SO}_4(\mathbb{R})$
19. On the first-order deformations of seminormal affine toric varieties
20. Degenerations of elliptic quartics and K-moduli of Fano threefolds
21. Semiorthogonal decompositions of stable $\infty$-categories
22. A remark on polycyclic groups of birational automorphisms
23. Type of homomorphisms of complex tori
24. Flat connections on moduli spaces I: Local (1,0)-extension of the DHS connection
25. Generalized Jantzen filtration, hyperbolic restriction, and characteristic cycles
26. Rigidity of the period map up to finite covers
27. The arithmetic rank of nullcones of classical invariant rings
28. The $(\infty,\infty)$-category of spans
29. Generalized Hamming Weights of AJ-Gorenstein One-Point Codes
30. Sasaki-Einstein metrics on connected sums of $S^3\times S^4$
31. The arithmetic of critical values II: critical elliptic curves
32. Proof of the planar Khavinson-Shapiro conjecture
33. Picture groups and green sequences from the perspective of Ringel--Hall algebras
34. A New Algebraic Algorithm for LWE
35. Transcendental Morse inequality on K\"ahler manifolds
36. Poisson blow-ups and the adjoint quotient
37. Thresholds of singularities in characteristic zero
38. GIT for root stacks and 3d mirror symmetry
39. No Equivariant Architecture Covers All Equivariant Attention
40. An Explicit Belyi Map for the Wiman Sextic and Cusp Forms for a Noncongruence Subgroup
41. Finiteness and rigidity of optimal destabilizing subvarieties for the J-equation
42. Bosonic codes from compact phase spaces

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-31/

1. An action of the affine Yangian $Y_{t_1,t_2}(\widehat{\mathfrak{gl}}_1)$ on the cohomology of the moduli space of stable sheaves on surfaces
2. Orbifold Degenerations of Hirzebruch Surfaces
3. Finding large families of rational curves through Bend-and-Break
4. Singularity Categories of Simple Singularities in Positive Characteristic
5. $K_2$-regularity is equivalent to smoothness for toric varieties
6. The Segre invariant and Brill-Noether theory on Hirzebruch surfaces
7. Metric-geometric Chow theorem
8. On Frobenius rigidity for motivic cohomology
9. Degree of irrationality of properly elliptic surfaces
10. Syzygies of Polarized Abelian Surfaces: A Reider-Type Criterion
11. A non-klt counterexample to Shokurov's index conjecture
12. Independence of the Grothendieck classes of twisted symplectic flag varieties
13. The Global Dimension Function on Stability Manifolds
14. Arithmetic purity of strong approximation for toric varieties with constant global sections
15. Local inequalities for $cD$ and $cE$ singularities
16. Fujita freeness for projectivized toric vector bundles
17. Betti bounds for spaces of curves on varieties and Manin's conjecture for quartic del Pezzo surfaces
18. On Manin's conjecture for quartic del Pezzo fibrations
19. The Saito determinant for extended affine Weyl discriminant strata
20. Quantum Information at Infinity
21. Positive Geometry of Yang-Mills Correlators
22. Algebraic implicitization techniques in the graphical models program
23. On cluster deep loci in double Bruhat cells
24. Simplicial arrangements in real projective three-space revisited
25. The Algebraicity Problem for Hard-Core Entropy Constants on the Discrete Hypertori
26. Rational torsion on simple genus two Jacobians
27. A ridgeline correspondence criterion: the number of modes of a Gaussian mixture is finite

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-28/

1. On the geometry of Fano varieties with Lefschetz defect 2
2. Beauville--Bogomolov--Fujiki positivity and Moishezonness of complex symplectic manifolds in Fujiki class $\mathscr C$
3. Isocrystals on unibranch varieties and open immersions
4. The Geometry of the Exceptional Component of Degree Two Foliations on $\mathbb{P}^3$
5. Kawamata--Miyaoka type inequality for weak Fano varieties
6. Geometric Invariant Theory of Peterson Varieties
7. Holonomy and Integrability of $p$-Closed Foliations
8. Nef cone decompositions for nested Hilbert schemes of points on surfaces
9. Non-existence of separating morphisms of low degree
10. Rank Two Sheaves With Maximal Third Chern Class on the Fano Threefold of Index 2 and Degree 5
11. Generalised Cone Conjecture, II: Generic Sakai surfaces
12. Toric vector bundles and the number of zeros of vertical systems
13. Finite group schemes as fundamental group schemes of smooth projective varieties
14. Nash Loci
15. Numerical Godeaux Surfaces with many disjoint $(-2)$-curves and Applications
16. Divisors in projective bundles over the projective line whose complement is affine space
17. Proper moduli spaces of isolated non-normal singularities
18. Disjoint and nearly disjoint sums of matrix multiplication tensors and their centroids
19. Towards the Global Torelli Theorem
20. $\mathbb{F}_q$-linear relations among Thakur's multiple zeta values in positive characteristic
21. Transcendental Numerical Dimension and Rational Quotients in K\"ahler Geometry
22. Quasi-polynomiality and $N$-point functions of single connected leaky completed Hurwitz numbers
23. Linear Independence of Polynomial Compositions and Identifiability of Deep Neural Networks
24. Quadratic Complexity of Voronoi Diagrams in $\mathbb{R}^3$ for Lines in a Single Ruling of a Regulus
25. Exceptional covers of the projective line with genus-one Galois closure: arithmetic forms over finite fields
26. Noncommutative Cluster Varieties and Moduli Spaces of Local Systems
27. Birch's theorem over function fields with quadratically many variables
28. Delta theory of Anderson Modules II: Hodge-Pink structure

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-27/

1. Genus 4 Supermoduli Space Is Not Projected
2. Kochen-Specker Configurations from Grids on Dual Quadrics
3. Log MMP Constraints on Curves with Cuspidal Singularities
4. Dimensions of type $A$ Hessenberg varieties over a fixed sheet
5. From Spectral Curves to Variational Equations: Geometry and Differential Galois Theory of KdV Cnoidal Waves
6. Spin structures and measures on the moduli space of curves
7. The geography of Chern slopes with prescribed fundamental group
8. The image of the constant sheaf under the geometric Langlands equivalence
9. Topological String Blowup Equations via Stable Pairs
10. Quasi-Galois points for quartic surfaces
11. Tautological Pushforwards of Hilbert Schemes of Points on Curves and Surfaces
12. Multiplicity-One Cox Rings of Toric Point Blow-Ups
13. On the Multiplicative Thom-Sebastiani Property for Bernstein-Sato Polynomials of Ideals
14. On monodromy of monodromy surfaces
15. The platonic elliptic surfaces
16. The Moduli Space of Determinantal Representations of Cubic Surfaces and Invariant Theory of Root Systems
17. Uniform non-homogeneous bundles on quadrics
18. Quasimaps to Nakajima varieties as critical loci
19. Cyclic covers via mixed Hodge modules
20. When are tropical multidegrees positive?
21. Crepant partial resolutions of the nilpotent cone via Hamiltonian reduction
22. Generalised Cone Conjecture, I: Beyond Calabi--Yau
23. Negative Effective Divisors and Bridgeland Stability of Line Bundles on Surfaces
24. The Multivariable Strong Monodromy Conjecture for Plane Curves
25. Equivariant Localization for N=2 Theories with Hypermultiplets
26. Remarks on Vafa-Witten theory, or how to sit on a wall
27. On the Representational Geometry of Dynamic Programs
28. A Classification of Self-Maps of Generalized Grassmannians
29. Rigid analytic 1-motives and conjugate uniformization of abeloid varieties
30. Arithmetic theta invariants and arithmetic equilibrium measures

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-26/

1. On the Geometry of Sixers on the Fermat Cubic Surface
2. An approach to curves in abelian surfaces using Fourier--Mukai and quadratic forms
3. A counterexample to a global-dimension bound for weighted projective lines
4. Cohomology of moduli spaces of pointed curves
5. Quantum invariance under non-smooth toric flops of the simplest type
6. The Number of Curves of Genus 2 with a Given Refined Humbert Invariant
7. Derived Enhancements of $T$-fixed subschemes
8. Local stability of Frobenius and Artin--Schreier base-change: a comparison
9. Unobstructedness of affine Gorenstein terminal toric fourfolds
10. Iterated Cartier Flux and Non-Finite Generation of Tame Polynomial Automorphism Groups over Finite Fields
11. Descent and Brauer-Manin Obstructions on Deligne-Mumford Stacks
12. Splitting and loop theorems in logarithmic Gromov--Witten theory
13. The bracket width for Lie algebras of vector fields is finite
14. The tangent bundle of a generalized Kummer fourfold is obstructed
15. An Explicit Counterexample to the Rank-Two Poisson Conjecture
16. Eventual Nonstandard Koszulness Fails for Veronese Subrings of Weighted Polynomial Rings
17. Quantum Algorithms and Hardness for Point-Count Approximation over Finite Fields
18. Geometric Realization of Finite Residue Casimirs and Weil Operators via Szeg\H{o} Kernels
19. Reeb spaces of 1st derivatives of proper submersions of certain classes
20. A conjectural construction of Arthur packets in Fargues-Scholze's categorical local Langlands correspondence
21. Periods of Oka K3 surfaces are dense
22. A Buium--Coleman bound for the Zilber--Pink conjecture for curves inside abelian varieties
23. The Smooth Narrow Mordell-Weil Group of Elliptically Fibered 4-Manifolds
24. Permutation and exceptionality of rational functions from equivariant elliptic isogenies over finite fields
25. Kloosterman sheaves and Bessel functions for generic principal series of finite groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-25/

1. The classification of generalised Kummer surfaces in positive characteristic
2. Border rank=rank for Kruskal tensors and a Kruskal's theorem for skew decompositions
3. Continuity of the tropical Prym-Torelli map
4. When is the matroid Schubert variety $\mathbb{Q}$-Gorenstein?
5. Arithmetic Kodaira--Spencer Class and Frobenius Liftings via Frobenius--Witt Cotangent Complex
6. A Chow-Type theorem from asymptotic directions
7. A Finiteness Theorem for Quartic K3-Fibred Calabi--Yau Threefolds in Scrolls
8. Explicit integration, birational models and symmetries of Lins Neto's exceptional families of foliations
9. A L\^e number addendum to the Morse Splitting Lemma
10. Algebraically trivial tropical cycles are smash-nilpotent
11. On the projectivity of compactified universal Jacobians
12. Gopakumar-Vafa Invariants for Local Calabi-Yau Orbifolds of $A_{N}$-type
13. Degree of irrationality of a product of two elliptic curves
14. Point Counts of Cluster Varieties of Marked Surfaces Over Finite Fields
15. Unirational Fano threefolds
16. A counterexample to Bruzzo's curve semistability conjecture for Higgs bundles
17. A motivic derived Fourier transform
18. The Bondal-Orlov Localization Conjecture Holds for Threefolds
19. Intermediate hyperbolicity of varieties supporting a variation of Hodge structure
20. Invariant two-jets and effective hyperbolicity for complements of two plane curves
21. Derivations of Generalized Moduli Algebras of Isolated Hypersurface Singularities
22. On the existence of minimizer on a log Fano cone singularity
23. On smooth affine surfaces with the cohomology of a smooth projective curve
24. Equidistribution for quasi-projective varieties over function fields
25. The invariant ring of degree-four rational maps on the projective line
26. Spin volumes of minimal strata and Chiodo integrals
27. Wall-crossing for equivariant DT4 invariants
28. A Complete Characterization of Realizable (Embedding Dimension, Multiplicity) Pairs for Complete Intersection Numerical Semigroups
29. Uniformity in rational torsion and small points on abelian varieties
30. Generically Ordinary One-parameter Hyperelliptic Families are Dense
31. On the Hilbert series of ideals generated by general linear forms
32. $p$-adic Equidistribution of Special Loci in a Product of Modular Curves
33. Pipe Dream Rectification and Dual RSK Correspondence

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-24/

1. Computing Jet Differentials and the Green-Griffiths-Lang Conjecture for Complements of Smooth Plane Curves
2. Fujiki Class $\mathcal C$ Varieties and a K\"ahler Criterion
3. On a conjecture of Demailly-Peternell-Schneider: the Kahler case
4. Torsion of extended Chern-Simons classes for canonical extensions of flat bundles
5. Mori theory and symplectic reduction for polygons and quivers
6. Gluing abelian categories and stability conditions
7. Mukai bundles and Brill-Noether generality for prime Fano threefolds in positive characteristic
8. Prime Fano threefolds in positive characteristic
9. Locally Acyclic Surface Type and Finite Type Cluster Algebras Have No Mysterious Points
10. Hyperelliptic Brill-Noether loci
11. Slope stability of tangent bundles of smooth toric Fano varieties
12. Maximal and minimal curves of the form $y^3=x^{(q^2+1)/2}+x$
13. Arithmetic $\mathcal{D}$-modules over Laurent series fields: the relative case
14. A counterexample to the bounded mass property
15. Anabelian Geometry in Families
16. Richardson tableaux and Motzkin paths

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-21/

1. A minimality criterion for surfaces of general type with applications to product-quotient surfaces
2. Geometrically multiplicative non-archimedean norms
3. Quadratic generation of ideals defining nonsigular toric 3-folds
4. Explicit birational models of marked elliptic surfaces of relative degree two
5. Universal torsors over quartic del Pezzo surfaces and stable rationality
6. Resolution of Singularities in Positive Characteristic: Frobenius-Hasse Towers and Exceptional-History Descent
7. The arithmetic de Rham stack
8. Disproof of the Yau--Tian--Donaldson conjecture
9. Ribet Points, geometric divisibility sequence and order of reductions on semiabelian varieties
10. Supergroup Gauged Linear Sigma Models and their Physical Mathematics
11. Eigensolvers for polynomial roots and tensor decomposition
12. Positive scalar curvature K\"ahler metrics and shifted $K$-stability
13. Exact Algebraic Computation of Learning Coefficients for Two-Dimensional Singular Models

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-20/

1. The Hodge conjecture for Fermat fourfolds of odd degree at most 199
2. Differential Operators on $G(r,n)$-Invariant Functions
3. Equivalence of Curve Singularities and delta-Invariants
4. Polytopes of Effective Boundary Expressions of Divisors on $\overline{M}_{0,n}$
5. Sixteen generators of the automorphism group of the Fermat quartic surface
6. Witt groups of smooth real curves and surfaces
7. Quadratic Cremona transformations of $\mathbb{P}^4$
8. Weighted Galois points for $K3$ surfaces in $\mathbb{P}(1,1,1, 3)$
9. Toric Representation Type of the Veronese Surface
10. All-Genus Large-Degree Asymptotics for Gromov--Witten Invariants of the Projective Plane
11. Differentiable approximation of continuous locally definable maps that preserves the image
12. On the Density of Polynomial Mappings Satisfying the Jacobian Conjecture
13. Equations of Tree Tensor Network Varieties
14. On the Hessian Conjecture in Lorentzian Signature: Constant Pivots and Hesse Systems
15. Donaldson-Sun Theory in the Conic Case
16. Boundaries of logarithmic Voronoi cells can be transcendental
17. On $p$-adic solubility of $Ax^\ell + By^m + Cz^n = 0$
18. Finite-coefficient K-theory of henselian valued fields and Gersten injectivity
19. Products of trees and ${\rm PGL}_2$-torsors over the punctured affine line
20. The $6\times6$ equality case of matrix spaces with rank-two commutators
21. K\"ahler-Ricci Tangent Flows in the Analytic Minimal Model Program

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-19/

1. F-rationality of multiplicity-free subvarieties
2. K-moduli of Fano threefolds of rank 2 and degree 28
3. Quantized Volume Comparison for Fano Manifolds, II
4. Motivic nearby functors on perverse Nori motives
5. A $k$-Dimensional Version of the Largest Intersection Problem
6. Witt rings, Pfister forms, and equivariant birational geometry
7. Suslin's cancellation conjecture on smooth real affine varieties with few real points
8. Symmetric Differentials on K3 Surfaces
9. Combinatorics of the Fourier transform: Stokes data, Gale duality and frieze patterns
10. A note on smooth quotients of Prym varieties
11. Combinatorial Hodge Index Theorem for Polytopes
12. Obstructions to intrinsic perturbation for $A$-hypergeometric series
13. Counterexamples to Sato's Weak F-Equivalence Conjecture and a Gorenstein Refinement
14. Pure gravity OPE density for genus-two handlebody in $\text{AdS}_3$
15. On Buzzard's Theoren
16. Cotangent Models of Nilpotent Orbit Closures
17. Cohomological rigidity of smooth toric Fano fourfolds
18. A Structural Property of Generic Initial Ideals
19. Intersecting families and nonvanishing multivariate polynomials over finite fields

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-18/

1. Ideal class maps on projective spaces and Grassmannians
2. Estimates for roots of Bernstein-Sato polynomials via log resolutions by orbifolds
3. The minimal exponents of semi-quasihomogeneous and Khovanskii non-degenerate complete intersections
4. On branched coverings of the projective line over the integers
5. K_0-motives and the Chow weight-heart
6. Unirational del Pezzo surfaces of degree one
7. A six-functor formalism for syntomic cohomology
8. Stability conditions supported on Lefschetz classes
9. Polynomial interpolation and the Waldschmidt constant of points in projective space
10. Some explicit counter-examples to Weibel's conjecture
11. Quot scheme of points on torus knot singularities
12. Singularities of rational maps: foundations and surfaces
13. Monodromy of stratified vector bundles
14. Degrees of Genus-Two Split-Jacobian Loci and Humbert-Form Reconstruction
15. Tangent cones to Schubert varieties for Kac--Moody groups
16. Twisted Deligne modules and abelian varieties over finite fields
17. A Sharp inequality between local volumes and minimal log discrepancies
18. Gromov-Witten theory of abelian varieties in families and modular forms
19. The quantum Hikita conjecture via quasimaps
20. An answer for a Mistretta-Stoppino's conjecture
21. Topological perspectives on the vanishing of some Bogomolov multipliers
22. Eigenvalues of locally positive semidefinite matrices: Non-convexity and Geometry
23. $F$-injectivity does not deform
24. Metric Degenerations and Satake Compactification of Enriques Surfaces
25. Positive Singularities and Volumes in Scattering Amplitudes
26. Critical-point-free energy for fractional-Toledo representations
27. Extremal mappings of tori, Teichm\"uller potentials and symmetric-space distance
28. Oort's conjecture on supersingular abelian varieties in odd characteristic
29. Nilpotent representations over equioriented cyclic quivers

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-17/

1. Algebraic curves admitting automorphism groups of large prime square order
2. The Lie algebra of polynomial vector fields on the affine space with constant divergence is $1.5$-generated
3. Twisted forms of classical hypersurfaces
4. Rank-two weak Fano bundles on a four-dimensional quadric hypersurface $Q^4$
5. Scrollar invariants of singular curves on toric surfaces
6. The Hassett-Keel program via $\Theta$-stability
7. The alpha spectrum of K-polystable toric $\mathbb{Q}$-Fano varieties
8. The Quartic Hessian Conjecture in Dimension Four
9. The cone theorem for effective fourfold pairs in characteristic $p>5$
10. Estimation of calculation errors and resolution of singularities
11. Weight decomposition for toroidal abelian fibrations
12. Semi-abelian reduction of Albanese varieties
13. Classifying Smooth Quot Schemes
14. Effective Bialynicki-Birula-Brosnan motivic decompositions
15. A remark on the full support property
16. Compressive Domains and a Bound for the Number of Components of the Fixed Locus of a Self-Map of the Berkovich Line
17. Feasibility problem for the radii of Steiner 4-chains
18. On the Existence of Hyperelliptic Curves over $\mathbb{Q}(T)$ with Certain Jacobian Ranks
19. Homological Mirror Symmetry for Affine Log Calabi-Yau Surfaces
20. An intrinsic characterization of the Bogdanov-Takens normal-form coefficients and a mixed-volume obstruction to non-isolated degeneracies
21. A structural trace identity and certified spectra for the Richelot-Brandt graph
22. Counting non-attracting subtrees and the equidistribution of repelling points
23. Gluing parabolic character sheaves
24. A greedy open-orbit criterion for solvable algebraic group actions, with applications to Lusztig's nilpotent varieties
25. Finite Gaussian Reconstruction of Polynomial Orbits: From Correlated Moments to Oscillatory Periods
26. On Galois extensions of geometric fixed point spectra

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-14/

1. Monodromy of plane curve singularities and quiver mutation
2. Virasoro Recursions for Simplicially Stable Curves with Colliding Markings
3. Collision-Hull Compression for Homogeneous Keller Maps and a Forty-Variable Counterexample to Zhao's Vanishing Conjecture
4. Rigidity for Lie algebras of locally finite derivations
5. Tame fundamental groups of rigid spaces
6. Lower bounds for the Smith-Thom deficiency of Hilbert squares
7. Topological obstructions to geometric positivity and negativity on Calabi-Yau manifolds
8. Supersymmetry, differential operators of infinite order and theta functions
9. Algebraic cycles and Fano threefolds of genus 7
10. Tropical and algebraic elliptic plane curves with fixed j-invariant
11. Equivalences via twisted hyperholomorphic sheaves from transverse Lagrangian fibrations
12. Sites and Grothendieck Topologies, Sites and Sheaves
13. Weight Certificates for Convex Multi-Objective MPC: Geometric Characterization, $\ell^1$ Construction, and $\ell^2$ Foreclosure
14. Minimal Nilpotent Orbits of type G2, F4 and E8
15. Analytic rank one propagation in Hida families
16. Moduli of super-representations of quivers

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-13/

1. Frobenius--Tschirnhausen ampleness
2. A Chain- and Diagram-Level Semantics for Morphological Calculus Refinement, monodromy, and bivector orbit decompositions
3. Deletion-contraction properties of graphically stable spaces
4. Semiorthogonal indecomposability for Hilbert schemes of points on integral locally planar curves
5. Echoes of phantoms on rational surfaces
6. Regulators of canonical extensions are torsion:the case of two transversally intersecting smooth divisors
7. Sharp bounds for frame counts and setwise stabilizers in classical groups
8. Bivariate quaternionic factorizations and surfaces that decompose into two circles
9. Invariant Functions on $p$-divisible Groups and the $p$-adic Corona Problem II
10. Conifold Gap Theorem for Topological Recursion
11. Smooth projective surfaces with bounded cohomology property II
12. Classification of products of Fano varieties with Picard number one
13. On the symplectic forms of Groechenig's Higgs moduli over an elliptic curve
14. K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line
15. A note on the real Jacobian conjecture in degree 7
16. Explicit Bicanonical Models of Eight Fake Quadrics
17. Quintic surfaces with 18 cusps
18. Construction and Periodicity of Minimal Resolution Graphs of Suspension Singularities
19. Towards Koszulity for categorical structures: category of 2-nets
20. Limits of Amao multiplicities and Epsilon multiplicity

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-12/

1. Obstructions for codimension one multiple fibers of Lagrangian and Calabi--Yau fibrations
2. A criterion for associated bundles and the weak Beauville--Bogomolov decomposition
3. Introduction to Universal Equations and Characteristic-free Resolution
4. On the decomposition theorem for forgetful maps between moduli spaces of stable pointed curves
5. Finite quotients of sousperfectoid adic spaces need not be adic
6. Finite monodromy groups in degenerating families and the stability degree of curves
7. Moderate and rapid-decay nearby cycles for holonomic D-modules
8. Poincar\'e \`a la Makdisi
9. An affine local criterion for toric projective space bundles
10. Log Calabi-Yau compactifications of $SL(2,\mathbb{C})$ character varieties
11. $\mathbb{A}^1$-fibration in algebraic geometry and $\mathbb{A}^1$-homotopy type
12. Invisible singularities in complex algebraic geometry
13. Type C Richardson Boundaries and Newton-Okounkov Degenerations of Odd-Dimensional Projective Space
14. Kronecker Products of Symmetric Persistent Tensors
15. Toric real loci via moment polytopes
16. Polynomial Bounds on Degeneration Order from Commutativity Properties of Tensor Slices
17. Equationless quadratic Chabauty for non-split Cartan modular curves

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-11/

1. Disconnected multigraded Hilbert schemes on $\mathbb{P}^2\times\mathbb{P}^1$
2. The dimension threshold for Batyrev's non-negativity conjecture on stringy Hodge numbers
3. A remark on Banecki's theorem
4. Deformations, local freeness, and base change for higher Du Bois singularities
5. A note on geometry of Bridgeland Moduli spaces on Gushel-Mukai threefolds
6. Automorphisms of very general blow up
7. Pseudo-hyperbolicity of Horikawa surfaces
8. Fundamental forms and infinitesimal symmetries of projective varieties
9. Tangent discontinuity in the oper stratification of de Rham moduli spaces
10. $E_1$-Degeneration for Irregular Hodge Filtrations on Deligne--Mumford Stacks
11. A Torelli-type theorem for hyperk\"{a}hler quotients
12. Essential p-dimension and Chern numbers
13. The universal cover of the second-type locus of a cubic
14. Geometric characterization of $p$-exceptional monomial GAPN functions
15. Mori dream Jacobian elliptic surfaces of Kodaira dimension one
16. Line-filtered rank-two ACM bundles on abelian varieties of Picard rank one
17. Dynamical degrees of twisted rational maps
18. K-stability of complete intersections
19. The hyperk\"ahler period-index conjecture is false
20. On the internal homotopy theory of motivic categories
21. Foliated Minimal Models and Flops
22. The rank of the $5\times 5$ permanent tensor is sixteen
23. Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity
24. Varieties with prescribed fundamental group schemes
25. Grothendieck weights and K-theoretic positivity for matroids
26. Effective Results about Foliations on Smooth Projective Complete Intersection Surfaces
27. A no-go theorem for special Ulrich bundles, with a complement on primary Burniat surfaces
28. The Veronese Geometry of Dziobek Configurations and Generic Finiteness for Homogeneous Potentials
29. Brehm-Wintner-Conley Dimension, Pl\"ucker Coordinates, and Generalized Dziobek-Williams Equations for Central Configurations
30. Solving polynomial inequalities over spaces of convex sets and applications
31. The sharp volume gap for K\"ahler manifolds with positive Ricci curvature
32. Equidistribution for semiabelian varieties over number fields
33. Posets of trek polynomials for directed trees
34. The Mathieu group $M_{23}$ is a Galois group over $\mathbb{Q}$
35. Finite Gram Scalarization and Further Properties of Multiplier Submodule Sheaves
36. Nef but Non-Semi-positive Line Bundles on Hopf Manifolds
37. The Dual DG Category to Weinstein's symplectic "category" and applications to Geometric Quantization
38. A pre-triangulated category which is not triangulated

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-10/

1. A note on the self-intersection of rational unicuspidal curve with one Puiseux pair
2. Initial Ideals, Low-degree Foliations and the Hilbert Scheme of Points on $\mathbb{CP}^{2}$: A First Approach
3. Projective Foliations with a Unique Singular Point and Maximum Algebraic Multiplicity
4. Cohomology Vanishing, Koszul Cohomology and Multigraded Regularity on Projective Varieties
5. A Deep Dive Into the Tangent Category of Schemes
6. The basic tropical polynomials generate the semifield of $r$-symmetric tropical rational functions
7. The logarithmic $h$- and $v$-topologies
8. The cohomology groups of finite cyclic covers of complexified real arrangement complements
9. Real morsifications via the trace map
10. Mirrors to toric degenerations via intrinsic mirror symmetry
11. New symplectic singularities from $SU(2)$ gauge theories
12. A Kohno--Drinfeld Theorem for iquantum Weyl groups
13. A combinatorial rule for $GL$-multiplicities of $A_n$-quiver loci
14. Modularity of Higher Theta Series III: Proof of the Modularity Conjecture
15. Tilting Mutations and Quiver-Invariant Dualities in Brane Tilings

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-07/

1. Iwahori Fundamental Local Equivalence
2. Smooth affine surfaces properly dominated by $\mathbf{C}^*\times\mathbf{C}^*$
3. Prym--Tyurin varieties coming from intermediate coverings of curves
4. On the topology of fibers of complex polynomial maps
5. Frobenius--Witt cotangent complex for derived rings
6. The Gromov width of generalized Bott-Samelson manifolds
7. A characterization of ball quotient stacks
8. Schematic Functorialities of Birational Motivic Homotopy Categories
9. Joyce's invariant and Virasoro Constraints for Quot schemes on curves
10. Higher-dimensional Virasoro algebras
11. McKay correspondence for linearly reductive finite group schemes in positive characteristic
12. Visualization of Complex Projective Curves
13. Behrend function and blowup algebras
14. Filtrations in $\mathbb{C}$-motivic stable homotopy theory
15. Dualizable Additive Categories
16. Combinatorial and algebraic proofs of Keller's $A_2\square A_2$ $q$-dilogarithm identity

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-06/

1. Iwahori Fundamental Local Equivalence
2. Smooth affine surfaces properly dominated by $\mathbf{C}^*\times\mathbf{C}^*$
3. Prym--Tyurin varieties coming from intermediate coverings of curves
4. On the topology of fibers of complex polynomial maps
5. Frobenius--Witt cotangent complex for derived rings
6. The Gromov width of generalized Bott-Samelson manifolds
7. A characterization of ball quotient stacks
8. Schematic Functorialities of Birational Motivic Homotopy Categories
9. Joyce's invariant and Virasoro Constraints for Quot schemes on curves
10. Higher-dimensional Virasoro algebras
11. McKay correspondence for linearly reductive finite group schemes in positive characteristic
12. Visualization of Complex Projective Curves
13. Behrend function and blowup algebras
14. Filtrations in $\mathbb{C}$-motivic stable homotopy theory
15. Dualizable Additive Categories
16. Combinatorial and algebraic proofs of Keller's $A_2\square A_2$ $q$-dilogarithm identity

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-05/

1. A Dimension-Two Counterexample to the Separable Jacobian Conjecture in Characteristic Two
2. Hulls, linear equivalence, and weighted superelliptic codes
3. Orbits and Fields of Definition for Graded Keller Maps
4. Murphy's law in non-abelian Hodge theory
5. Unifying singular value decompositions of tensors via aligned orthogonality
6. Unirationality is the same thing as Rational Connectedness in Characteristic Zero
7. A klt generalized pair with infinitely generated canonical ring
8. On Fano indices of weighted projective spaces
9. Singularities of Amoeba Contours
10. Cusps and nodes of Amoeba Contours
11. The period-index conjecture is false
12. The extended Fargues--Scholze spectral action
13. Generic Recovery of Permittivity and Permeability in Anisotropic Maxwell Systems
14. Identifiability of phylogenetic networks and quintet concordance factors
15. CscK metrics on birational models of projective varieties
16. Permutation Decoding of AG Codes from Curves Defined by Separated Polynomials
17. Non-split Cartan curves and a characterization of fake elliptic curves

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-04/

1. Counterexamples to the Jacobian conjecture in dimensions greater than two
2. Localization and elliptic motivic relations
3. Uniform stratified vanishing and equidistribution on $\mathbb{G}_m^d$
4. Triple Hodge integrals and constant Poisson brackets for rank-one Dubrovin-Zhang hierarchies
5. Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups
6. Torus-enriched Motivic Bruhat Complexes and Maximal Compact Groups
7. A cusp surface singularity is Frobenius liftable
8. Nash structure of curves over a valued field and tame henselian rationality
9. Tannakian reconstruction in derived algebraic geometry
10. On the Datar-Mete-Song minimal slope conjecture
11. Moduli spaces of varieties of general type are naturally of log general type
12. Stability of normal bundles of Brill--Noether curves in $\mathbb{P}^4$
13. Square-integrability of holomorphic differential forms on locally symmetric varieties
14. Finite abelian subgroups of algebraic groups
15. Monodromy action on character varieties for Lefschetz pencils
16. Numerical Irreducible Decomposition in Julia
17. Log Calabi--Yau structure for endomorphisms on $\mathbf{P}^n$
18. Comparing local-global obstructions on algebraic stacks
19. Neighborhoods of curves with a prescribed number of foliations
20. Oka complements of cubic hypersurfaces
21. Adjacent non-stable layers in the $\mathbb{A}^1$-homotopy of the special linear tower
22. A counterexample to Han's conjecture
23. Explicit description of certain 3-point K-theoretic Gromov-Witten invariants for flag manifolds
24. Renormalizations in holomorphic field theories on K\"ahler manifolds
25. Fundamental examples of height functions on closed manifolds and their 1st derivatives
26. The equality case of Ehrhart's volume conjecture
27. Dualizing and canonical complexes on finite posets II: properness
28. Weights in \'etale cohomology over mixed-characteristic local fields and applications to anabelian geometry
29. Discriminant Varieties for Stick Knots and Links
30. A uniform decomposition theorem for invariant differential operators on imprimitive complex reflection groups G(r,p,n)
31. The cubic threefold is symplectically irrational
32. Beyond $K$-Theory: Geometry and Holomorphy in Hyperbolic Band Theory
33. Hilbert Series and Logarithmic Degrees of $A$-Hypergeometric Series
34. $q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis
35. Isogeny graphs of elliptic curves in characteristic zero
36. Automorphic functions for square-zero extensions of curves over finite fields

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-03/

1. Notes on the Kuznetsov component of cubic sevenfolds
2. Cellular $\mathbb{A}^1$-homology of wonderful models of subspace arrangements
3. On isotrivial cone structures of highest weight type
4. A quadratically enriched count of lines on a smooth del Pezzo surface of degree 5
5. Khovanskii's Bezout-type Theorem for Pfaffian Functions: A Self-Contained Proof, and Applications
6. The motivic Lie algebra embeds into the cohomology of the general linear group
7. Alternating Quinary Cores of Complete Atomic Ternary $\Gamma$-Semirings: Representation, Binary-Collapse Rigidity, and Witness Geometry
8. On totally symplectically aspherical manifolds
9. An extension theorem in terms of adjoint ideal sheaves
10. Small Resultant Systems via Linear Combinations
11. Regular Borel subalgebras of the Lie Algebra of Aut($\mathbb{A}^2$)

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-31/

1. Sharp Bounds for Totally Invariant Cycles of Projective Varieties
2. Families of curves separating points
3. Logarithmic Lefschetz fixed point formulae and resonant boundary indices
4. Log Canonical Models and Positive Geometries
5. Stability conditions and moduli spaces on projective families
6. Boundedness of polarized foliated surfaces
7. Local cohomology modules with nonclosed support
8. Transcendental Hilbert-Kunz Multiplicities

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-30/

1. A Riemann-Roch theorem for Frobenius quotients
2. Algebraic vs. analytic: a survey
3. Higher dimensional dominoes in de Rham-Witt cohomology
4. Twelve common flex lines in a general pencil of cubics
5. An atomic criterion for irrationality without quantum computations
6. Image Recognition via Vaisman--Neifeld's Geometry
7. On the Betti numbers, Poincar\'e polynomials, and Euler characteristics of $\overline{\mathcal M}_{0,n}$
8. Fundamental group schemes of globally F-regular varieties
9. A non-holomorphic P=W phenomenon
10. Splitting Brauer classes by genus one curves over number fields
11. Removing the Torsion-free Hypothesis in a Positivity Theorem on Deligne-Mumford Stacks
12. The finite degree formula for normalized volumes
13. On the boundedness of elliptic Calabi-Yau 4-folds
14. Balanced Metrics Know About SYZ
15. Exploring a local variant of the Buchsbaum--Eisenbud--Horrocks conjecture

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-29/

1. On the K\"ahler MMP and the transcendental base-point-free theorem
2. A counterexample to a conjecture of Duncan on versal actions
3. The Miyaoka-Yau inequality and the delta invariant for Fano varieties
4. Analytic Bertini theorem II --- The local case
5. A smooth projective counterexample to Bondal-Polishchuk's conjecture
6. Categorical absorptions of cone singularities
7. Type A Nilpotent Hessenberg varieties with Hessenberg function $h(i)\le i+1$
8. Instanton slices and their superpolynomials
9. A Hodge Theoretic Generalization of $\mathbb{Q}$-Homology Manifolds II: Local Complete Intersections
10. The Cautis-Logvinenko conjecture
11. Diagonal cycles on Shtukas and the adjoint $L$-function
12. Calabi-Yau Deformation Quantization
13. Many-point tropical relaxation and the Monge--Amp\`ere equation
14. Intersection Cohomology of Igusa Stacks
15. Isotropic Decompositions via Inverse Eigenvectors

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-28/

1. Corrigendum to "Nonsymplectic automorphisms of prime order on O'Grady's sixfolds"
2. K-theory of Weighted Blowups
3. De Rham-Betti Groups of Some Abelian Fourfolds
4. Unramified Motivic Multiple Mixed Values
5. Sylow Criteria for Liftability of Automorphism Groups of Smooth Hypersurfaces
6. Actions of $(\mathbb{Z}/4)^4$ on rationally connected threefolds
7. The Chow Characteristic Image of \(\Spin(10)\) via the Affine Cone over the Spinor Variety
8. Projective moduli of log Calabi--Yau fibrations over curves
9. Stratified motivic invariants and bivariate deformations of Poincar\'e polynomials
10. Biangular lines with angles arccos(1/5) and arccos(3/5)
11. Roots of Bernstein-Sato polynomials for projective hypersurfaces with ordinary double points
12. From Regions to Hodge Structures: The Topological Study of semialgebraic Curves Configurations
13. Simply branched covers of curves and wild conductor exponents
14. Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms
15. Local and 2-Local automorphisms of n-dimensional totally graded filiform Lie algebras
16. Matrix Kloosterman sums and product-trace estimates for semisimple algebras
17. The loop-nilpotent cohomological Hall algebra
18. Engineered Complete Intersections: Algorithmic Aspects
19. Complex Analysis and Existence Problems for plane Graphs
20. Kazhdan--Lusztig polynomials of matroids need not be unimodal
21. Aomoto interpolation and Coxeter systems
22. Symplectic resolutions of moduli spaces of $G$-Higgs bundles
23. Coulomb branches, quantized zastavas, Kac polynomials, and shuffle algebras

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-27/

1. A topological Chern character for matrix factorizations
2. Rank-one convexity, polyconvexity, and extremality for three-dimensional elasticity tensors in various symmetry classes
3. Critical loci of self-maps of projective space
4. Moduli of atoms of complex projective varieties
5. Base-change of locally stable families in positive characteristic
6. Incidence equivalence, a survey
7. Ulrich sheaves and determinantal representations for higher secant varieties of curves
8. Generalizations of the Scorza correspondence
9. A five-variable counterexample to the Hessian conjecture, and the low-dimensional status of the Jacobian and Hessian conjectures

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-24/

1. Group Chunks in Model Theory and Algebraic Geometry
2. Prescribed extension spectra of mock automorphisms over finite fields
3. Absolute minimum of a height associated to a semipositive adelic line bundle
4. An Explicit Characteristic-$2$ Counterexample to the Separable Jacobian Conjecture
5. Generic ordinarity for abelian coverings of the projective line
6. Quantum index, Arnold-Rokhlin surfaces, and real enumerative geometry
7. New conjectures on multiplicities of tensor eigenvalues
8. The restricted Hitchin map of wobbly vector bundles
9. Generic degrees of real polynomial Keller maps with non-dense image
10. On mappings with Jacobian one
11. The Independence-Preserving Property and Planar Web Geometry
12. TwistedMerge: Certified Higher-Order Diagnostics and Abstention for Model Merging
13. New excluded minors for the class $\mathcal{M}_3$ of regular matroids
14. Lower bounds on the strength of the determinant
15. Mixed Hodge formality

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-23/

1. On arrangements of plane real quartics with respect to three lines
2. Maximum Likelihood Estimation on the Grassmannian of Lines
3. Derived representation schemes with arbitrary coefficients and associative smoothness
4. Numerically trivial automorphisms of elliptic surfaces III: the non-algebraic case
5. N{\'e}ron models of G\_m
6. Lipschitz embeddings of algebraic curves
7. Connected components of real loci in moduli spaces of vector and Higgs bundles over a Klein surface
8. Graded Keller maps and the Jacobian Conjecture
9. On the global and local geometry of quasi-$F$-split varieties with trivial canonical bundle
10. Effective characterization of semi-abelian varieties
11. Automorphism groups of curves with simple Jacobians
12. The Pila-Zannier strategy for Drinfeld modules and Drinfeld modular curves
13. A Counterexample to the Global Injectivity of a Jacobian Mapping in \mathbb{C}^5 and Its Analytical Roots
14. Combinatorial geometry of the 2D Toda lattice and Davey Stewartson equation
15. Extremality of principal quiver Grassmannians

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-22/

1. Picard groups and composition nilpotence for finite cellular isotropic spectra
2. Hyperk\"ahler sixfolds, abelian fourfolds of Weil type and a Hodge class
3. Obstructions to embedding singular curves in toric varieties
4. Foliations with small singular set in arbitrary characteristic
5. Non-liftable varieties via etale cohomology rings
6. Homological rigidity and Schur rigidity of Schubert varieties in rational homogeneous spaces
7. On the Toda hierarchy for the stationary theory of the tube with negative contact orders
8. Semipositivity of the orbifold second Chern class in Fujiki's class
9. The modulo eight behavior of common factors of two hypergeometric polynomials arising from a genus three heperelliptic family
10. On degenerate geometric rank
11. Zero-cycles on surfaces dominated by products of hyperelliptic curves
12. Topology and geometry of moduli spaces of semistable sheaves on bielliptic surfaces
13. On the Fields of Moduli of Curves of Genus Six
14. Topology of higher Albanese maps and aspherical varieties with nilpotent fundamental group
15. A counter-example to Batyrev's conjecture on the non-negativity of stringy Hodge numbers
16. Basic properties of kappa classes
17. Isotrivial smooth curves on surfaces
18. Compactification of the fifth Painlev\'e foliation
19. Stacky Framework for the Classification of Singular Fibers in Fibered Surfaces
20. Degenerations of the complex projective plane with only rational singularities
21. Pure D-brane Black Holes: BPS Counting and non-BPS Vacua
22. Refined Vafa-Witten invariants for toric surfaces from supersymmetric localization in 5D gauge theory
23. Finite quotients of full surface braid groups and complex surfaces of general type: cyclic, dihedral, and extra-special quotients
24. The complex projective plane as a ball quotient
25. Polynomiality of Stretched Schubert Structure Constants and Key Coefficients
26. The spaces of K\"ahler and holomorphically tamed symplectic forms on closed 4-manifolds
27. Metric entropy of the space of holomorphic functions
28. A sublinear bound for the regularity of subspace arrangements
29. Diffeological non-Abelian Hodge theory: relative harmonic metrics and deformation theory
30. Topology of the orbit space of a maximal torus action on $\operatorname{Gr}(2,\mathbb{C}^{5})$

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-21/

1. $0$-cycles and sheaves on abelian surfaces
2. Fields of Moduli of Smooth Cubic Surfaces
3. Finite Group Reduction of the DR/DZ Hierarchies
4. Non-general type surfaces in P4, an update
5. Explicit LCP of MDS Codes and LCD Codes on Hyperelliptic Curves via Mumford Representation
6. Characteristic cycles of constructible sheaves and microlocalization
7. Expressivity of Shallow Neural Networks Over Finite Fields
8. Regions represented as foliated forms and natural smooth maps onto them
9. Torsors over the universal Jacobian over $\mathcal{M}_g$
10. The Miracle of Flatness in Algebraic Geometry
11. Coincident Poisson structures on principal-bundle moduli spaces
12. The Springer Geometry of Specht Polynomials and Schubert cycle positivity for two row Springer fiber components
13. Algebraic Knots and their Universal K^MW_2-Coverings
14. $\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures
15. Bia{\l}ynicki-Birula Decompositions of Nakajima Quiver Varieties, Quiver Chains and Star-Shaped Quivers
16. Degenerating Discriminants
17. Resolution of the Prym map in genus 4
18. Integral Weyl Invariants in Chow Characteristic Images of Spin and Special Clifford Groups
19. The non-Lefschetz locus of conics
20. Equivariant Schubert Calculus for Inverse Grassmannian Permutations
21. Chow-Witt Theory in the Arrowtic Paradigm
22. $m$-Positive Stability of Holomorphic Vector Bundles and Moduli Spaces
23. Nilpotent quiver varieties with multiplicities and symmetrisable crystals
24. Betti Tables and the Licci Property
25. Galois-invariant N\'eron--Severi ranks of Fermat surfaces over number fields: a Galois module, closed forms, a threshold, and exact tables
26. Quadratic residue patterns of length 4 and 5
27. The deformed Vortex equations and equivariant stability conditions
28. Universal Correlators on Exponentially Ramified Spectral Curves
29. On unirational varieties with poset parameterizations
30. Homological Detection by Perfectoid Algebras
31. Periodic phenomena in stable motivic homotopy theory
32. Small Counterexamples to the Gaussian Moments Conjecture

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-20/

1. Contour Degree of Amoebas of Complete Intersections
2. Sparse Bounds for Amoeba Contours
3. Order and Pascal depth of Pascal finite automorphisms of the plane
4. Tropicalizing polynomial strata
5. Explicit Formulas for $\mu$-Bases of Planar Rational Quartic Curves
6. Curves with a large automorphism group admitting a cyclic subgroup of index $2$
7. What are the odds that a conic bundle over a finite field is rational?
8. Moduli of conic surfaces over the line
9. Degenerations of multisingularities and Artin algebras
10. On complete intersection projective closures of monomial curves
11. Finiteness of the Tate-Shafarevich group over function fields for groups of multiplicative type
12. Lusztig's special pieces conjecture
13. Indecomposable translates and degree-$d$ points
14. Defining reduction types of curves via minimal regular and minimal normal crossings models

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-17/

1. A Proof of Coherent Duality via Techniques from Condensed Mathematics
2. Sheaves for spacetimes: a survey
3. Koszul Duality for Coherent Sheaves
4. Contou-Carr\`ere symbol, Deligne pairing and quintets
5. Topological reconstruction theorems over uncountable algebraically closed fields
6. Formality for rigid-analytic spaces satisfying the weight-monodromy conjecture
7. Connections on Associative Varieties
8. Tautological systems and local cohomology
9. A Bogomolov type vanishing theorem
10. Substitution and quotient of the isotropy group action
11. Zeros of one-forms and the topology of algebraic maps
12. On the geometry of Coulomb branches
13. Moduli spaces of snc klt KSBA stable pairs are naturally of log general type
14. Rigidity of multisections to the universal cubic plane curve
15. In Memoriam: Professor Dr. Winfried Bruns (1946--2026)
16. Blow-up Parameter Landscapes for Polynomial Dynamical Systems
17. The Stable Adjunction in $\mathbb{A}^1$-Homotopy Theory
18. Equidistribution and the torsor method
19. Geometric Criteria for Morrey Admissibility via the Real Log-Canonical Threshold
20. Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-16/

1. Composition of Sarkisov links between del Pezzo surfaces
2. Euclidean Distance Degrees in Macaulay2
3. On the $K$-theoretic logarithmic double ramification class
4. A complete curve of genus 105 in the moduli space of curves of genus 3
5. Non-cancellative varieties, maximal tori, and the Makar-Limanov invariant
6. On Milnor and Tjurina numbers of Pairs of Holomorphic Functions Germs
7. On the Feyzbakhsh-Thomas programme for Fano $3$-folds
8. Open surfaces with a triangle at infinity
9. Smashing, Balmer, Zariski spectra: an ideal approach
10. Nonlinear Hodge correspondence for morphisms
11. Matroid correspondence
12. What are symmetric monoidal categories?

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-15/

1. Obstructions to the existence of good moduli spaces of $A_r$-stable curves
2. LipschitzSaturation: A Macaulay2 Package for Computing Lipschitz Saturations of Modules and Toric Varieties
3. Automorphism groups of rigid complete intersections
4. Topology of Galois conjugate character varieties
5. Recursive Formula for the Equations of Hessenberg Varieties
6. Meromorphic Group Actions and the Support Theorem for Lagrangian Fibrations
7. Euler Characteristics of Generic Quiver Grassmannians: Semi-Invariants and Localization
8. On the invariance of irregular Hodge numbers under crepant birational equivalences
9. Isomorphism classes of multi Danielewski varieties
10. Negative $K$-theory and Hodge theory
11. Infinitesimal invariants of genus 4 curves and the Griffiths-Pirola cycle
12. Metrics on triangulated categories and their enhancements
13. Fano 4-fold quiver moduli from subspace quivers
14. Obstructions to Deformation Quantization of Bundles
15. Computing Cox rings via the cone conjecture
16. Exchange theorems and coherent duality in six functors
17. The Infinitesimal Structure of Quantum Information
18. Genus and Gonality of Small Curves, Dynamical Uniform Boundedness, and Bifurcation
19. Euler systems and the symmetric square of a Hida family

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-14/

1. $p$-elementary non-cyclic subgroups of the Cremona group of the plane
2. Non-trivial Odd Dimensional Equivariant Cohomology of Torus Orbits of Generic Points in $gr(2,k)$
3. Duals of log abelian varieties
4. Automorphisms of a $(24_4, 32_3)$-configuration on the Schur quartic
5. Reconstruction of Formal Schemes from Categories of Nuclear Modules
6. Nonrationality Degree of Toric Quasifolds
7. Holomorphic symplectic geometry of elliptic surfaces
8. Stability of syzygy bundles on certain Picard rank one varieties
9. M-modules
10. Based maps to Lagrangian Grassmannians, Quivers, and Bott Periodicity
11. Limiting Hodge Structures for Cubic Hypersurfaces of Secant Type
12. 4x4 Matrix Representation of Hybrid Numbers, Gram Matrix and Golden Ratio
13. Collinearly complete sets and finite subgroups from configurations of skew $n$-planes in $\mathbb P^{2n+1}_K$
14. The flexibility of $m$-suspensions constructed via a local slice
15. On Orbifold Quantum Cohomology of Foldings of $ADE$ Resolutions
16. N\'eron--Severi groups of proper schemes over finite fields
17. An obstruction to lifting schemes to spectral schemes
18. Chow classes of orbit closures of skew-symmetric matrix pencils
19. Affine monodromy and exact value distributions over finite fields
20. A Guess and Determine Attack on the Elliptic Curve Discrete Logarithm Problem
21. Anomaly cancellation for two $U(1)$ factors
22. Electrical networks, Grassmannians, and cluster algebras
23. Orbit Transversality for Abelian Varieties
24. A Second Main Theorem for Non-Constant Holomorphic Curves Intersecting a Fermat-Type Curve
25. Topology of the links of cDV singularities of types $cA_n$ for $n>0$ and $cD_n$ for $n>4$
26. Geometrically vertex decomposable star configurations
27. Greenberg's $\mu=0$ conjecture for lisse sheaves over global function fields
28. Integral closure for (additively idempotent) semirings
29. Extending valuations of local domains to complete local domains without changing the value group
30. Common extensions of valuations to rational function fields

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-13/

1. Hilbert schemes of points on canonical surfaces
2. Asymptotic Cohomological Functions and Volumes on Proper Schemes
3. On the Jung-van der Kulk decomposition into Pascal finite factors
4. A note on numerical symmetry of the product-zero variety
5. Inaccessibility of the flat topology
6. Formal Abel relations for curves in characteristic $p$
7. Correspondences for hyperk\"ahler varieties with large Picard numbers
8. On The Morel Structure Conjecture
9. A diagrammatic field theory of quantum error correction
10. Factoring maps to big Cohen-Macaulay algebras through blowups
11. $S_r$ properties of generalized Cohen--Macaulay modules and rings having liftable local cohomology via Serre depth
12. Remarks on a theorem of Silverman
13. On $F$-thresholds of differential power filtrations
14. Deformations and second-order rigidity of polytopes
15. Indecomposable extensions of perverse sheaves over a closed stratum
16. Topological line arrangements with high multiplicities
17. Smooth Realizations of Line Configurations
18. Exterior power operations on relative K-theory

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-10/

1. On the rational cohomology of moduli spaces of Prym curves
2. Algebraizability of Vector Bundles over Real Algebraic Varieties
3. A $(24_4,32_3)$-configuration on the Schur quartic with logarithmic Chern slope $14/5$
4. A technique for computing oriented cohomology rings of semisimple algebraic groups
5. Complex curves in o-minimal geometry
6. Tubular Neighbourhoods of Pfaffian Sets and Applications to Neural Networks
7. A counterexample to Purdy's inequality for hyperplane arrangements in projective three-space
8. Torsion-stabilized modular curves of level $p$
9. Waring Problem for matrices over finite local rings
10. On cube and Cremona rigidity for higher-rank lattices
11. Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-09/

1. The Algebraic Montgomery-Yang Problem
2. Divisorial Persistence and Asymptotic Homology of Analytic Pairs
3. Arithmetic of Gysin kernels
4. On the Chow ring of very general abelian varieties and a question of Pirola
5. Descendability and descent in topological weaves
6. Schanuel Integration and Euler Characteristic of Semi-algebraic Sets
7. Involution-equivariant topological recursion and mirror symmetry for the affine binary dihedral Calabi--Yau threefold
8. The Knop-Luna-Vust theory of spherical embeddings, extended to non-reductive groups
9. The hyper-Kummer construction
10. Poisson K-stability and generalized K\"ahler structures of constant scalar curvature
11. On $\eta$-periodic Formal Ternary Laws
12. Schwarz maps for modular curves
13. Global geometrization of local smooth integral models in the Hitchin fibration for $\mathrm{GL}_n$: The Bass case
14. Quantitative hyperbolicity for complex manifolds via numerical invariants
15. $p$-adic Maass--Shimura operators on $\mu$-ordinary Igusa varieties
16. A higher Gross-Zagier type formula for moduli of shtukas at deeper level
17. Reduction Types of Genus 2 Curves
18. On Two Algebraic Realizations of Schubert Calculus

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-08/

1. Vector Bundles on Rational Topologically Contractible Affine Threefolds
2. Derived operadic centers in algebraic geometry and deformation quantization
3. Virtual Jeffrey--Kirwan localisation
4. Algebraic Geometry of Electroid Varieties
5. Homology fiber bundles of varieties, that are not topological fiber bundles
6. Wall-crossing for Hilbert schemes
7. On the Generalized Arithmetic Picard--Lefschetz Formula
8. Tangent classes of matroids and wonderful compactifications
9. Singular fibers of elliptic fibrations on normal $K3$ surfaces
10. Shifted Poisson unfoldings and quantum anomalies
11. Quotients of real algebraic sets and AS-sets equipped with a linearizable compact group action
12. Brauer groups of resolved quiver moduli via gerbes
13. Motivic quasimap wall-crossing for Grassmannians
14. Comparison of K\"{a}hler quotients of torus actions
15. Microlocal Bernstein--Sato polynomials on singular ambient varieties
16. Genus one correspondence between tropical and algebraic curves
17. A generalised cross-ratio and limits of local heights
18. Classification of equivariantly normal curves via Altmann-Hausen-S\"uss theory
19. Attractor Flow Versus Hesse Flow in Wall-Crossing Structures
20. Graded families of ideals and convex regions
21. Degenerations of flat connections on Riemann surfaces
22. Rigid ternary relations in finite-dimensional Hilbert-space Grassmannians
23. Rigidity of maps between configuration spaces
24. The Siegel-Weil formula in geometry and arithmetic
25. Commutativity of nilpotent cohomological Hall algebras of $\mathbf{A}^2$

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-07/

1. Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing
2. Resolve the lightcone singularity and extend the SO(3,1)-action
3. Computing the continuous symmetries of a parametrized variety
4. Permutahedra, Lusztig varieties, degenerations, and subdivisions
5. Some terminal orders on 3-folds
6. Cellular $\mathbb{A}^1$-Homology from Bruhat Boundary Matrices of Split Semisimple Flag Varieties
7. A Polynomial Recovery Criterion for Forced Commutativity in the Matrix Square-Root Fiber of a Square-Free Cubic Polynomial
8. Bigness of tangent bundles of blow-ups of ruled surfaces
9. Real radiciality and monoreal extensions
10. Isolated Hypersurface Singularities May Be Stably Degenerate
11. Enumerative geometry of skew lines in $\mathbb P^3$ with a given associated finite group
12. Family Floer SYZ mirror algorithm for the Grassmannian $Gr(2,4)$
13. A linear lower bound on the Ulrich complexity of hypersurfaces
14. K-polystable toric Fano varieties with small alpha invariants
15. On the number of Frobenius periodic vector bundles on elliptic curves
16. A slope-unstable bundle on a surface with 1-homogeneous projectivization
17. Classification of Smooth Minimal K\"ahler Fourfolds Without Effective Divisors and Surfaces
18. Compactifying real analytic functions and resulting Reeb spaces
19. Stability conditions on threefolds
20. Localization and Affine Schemes over $\mathbb{F}_1$
21. A counterexample to the odd-dimensional rank bound for abelian \texorpdfstring{$p$}{p}-group actions
22. A note on prismatic sites for p-quasisyntomic rings
23. Toric decomposition in algebraic groups
24. A universal discriminant formula for pencils of quadrics
25. A note on stability conditions on projective spaces
26. Quiver BPS Indices from Crystal Profiles
27. Likelihood Geometry of Moving Average and Autoregressive Processes
28. Category $\mathcal{O}$ for truncated shifted Yangians and the bi-infinite Bott-Samelson variety
29. Disguised complex balance via positive algebraic geometry
30. On two questions of Qi on saturated filtrations
31. Symplectically aspherical K\"ahler manifolds, scalar curvature, and the fundamental group
32. Universal affine bundles for compact complex manifolds
33. Noncommutative Cartier Formulae

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-03/

1. Hecke operators on symplectic surfaces and $\chi$-independence
2. Interpolation for rational curves with secants
3. $\chi$-independence for K3-surfaces via $p$-adic integration
4. A note on cubical Bloch--Levine cycle complexes
5. Foliated and Mather-Jacobian discrepancies via tangential arcs
6. Motivic Hochschild homology of mod 2 motivic cohomology over algebraically closed fields
7. Petersen graph and monodromy of the 27 lines on the Clebsch surface
8. A nine-line counterexample to a conjecture on the minimal degree of Jacobian relations
9. Comb smoothing and local triviality of homogeneous spaces over a relative curve
10. On generic finiteness of pluricanonical maps of threefolds of general type
11. Positive Cones of Parabolic Grassmann Bundle over a curve
12. Recent progress on the geometric Bombieri--Lang conjecture
13. Quasi-$F$-splitting versus log canonicity
14. Components of simple and non--simple type of Hurwitz schemes
15. The Gorenstein property and Pixton's conjecture for compact type moduli
16. Bridgeland-Enriques general K3 surfaces
17. Point Singularities and Local Third Chern Classes for Rank-Two Torsion-free Sheaves on Threefolds
18. A note on polyhedral cones and toric polylogarithms
19. Existence of a Nonsmoothable Local Gorenstein Algebra with Smoothable Q(0)
20. Algorithms for hyperelliptic Mumford Curves $p$-adic Uniformization, $p$-adic integrals and $p$-adic heights

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-02/

1. Generalized Nikulin surfaces and irreducible symplectic fourfolds
2. Automorphism groups of non-normal rigid affine surfaces are finite-dimensional
3. An equivariant fixed-level Demailly identity for Fano manifolds
4. An introduction to the intersection theory of the moduli space of curves
5. Prym-Brill-Noether Theory for General Covers
6. Sheared Witt Vectors
7. Central isogenies and conjugacy classes in reductive groups
8. Reductive monoids over general base
9. Pseudo-centralizers in affine Hecke algebras

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-01/

1. From a Pascal construction to the Burkhardt quartic
2. Addendum: On generalized canonical bundle formula and boundedness of complements in complex analytic setting
3. Log Conifold Transitions
4. Equivalued affine springer fibers in mixed characteristic
5. Symplectic leaves of meromorphic Hitchin systems
6. On the canonical degree of a Gorenstein minimal threefold of general type
7. Holomorphic differential forms on some orthogonal modular varieties
8. On homological properties of conic-line arrangements with simple singularities
9. Quasi-$F$-singularities and singularities in birational geometry
10. On the degree of subvarieties on abelian varieties
11. Segre-Determinantal Loci and the Image Variety for Three Flatland Cameras
12. An overview of the geometry of Kottwitz-Viehmann varieties
13. Nowhere-vanishing harmonic 1-forms on real loci of K3-fibred Calabi-Yau 3-folds
14. Biholomorphism type of left-invariant complex structures on nilpotent Lie groups
15. Construction of Generically Ordinary Families of Hyperelliptic Curves

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-30/

1. Classification of singularities of planar slowness surfaces
2. Curves on irrational ruled surfaces whose complements are of non-general type
3. Semistability of Syzygy Bundles Associated to Ulrich Bundles on Projective Varieties of Arbitrary Dimension
4. The Dolbeault geometric Langlands correspondence for type A groups beyond the elliptic locus
5. Hyperelliptic Stable Curves
6. Dimension filtrations in birational localisation
7. On computation of unramified cohomology over non-closed fields
8. Virtual cycles of 3-term complexes and the Hilbert schemes of surfaces
9. Chow rings, cohomology rings, and point counts of moduli spaces of curves
10. On positive cones of finite quotients of a normal variety
11. A Criteria of Weighted Homogeneity via Logarithmic Vector Fields
12. Criteria of isolated weighted homogeneous hypersurface singularities using Logarithmic vector fields
13. Effective results on projective normality of the first and second secant varieties
14. A note on the transcendental basepoint-free conjecture for Calabi-Yau manifolds
15. Quadratic Spaces and Orthogonal Groups over semilocal Rings
16. On Property $N_p$ of line bundles on smooth projective toric varieties
17. On the Divisorial Geometry of Volume Asymptotics of Sublevel Sets
18. Virtual K-theoretic invariants of the nested Hilbert scheme on $\mathbb{C}^2$
19. A One-Variable Frame Construction For Irrational Components of Hilbert Schemes of Points
20. Pointed Evaluation Fibers of Rational Curves on del Pezzo Manifolds
21. Lagrangian correspondences of nonabelian Hodge type and shifted twistor structures
22. To be or not to be local
23. Point counts of abelian varieties over finite fields determining their zeta function
24. On Dense Orbit Transversality for Endomorphisms of Abelian Varieties
25. Transcendental Epsilon Multiplicity via Divisor Volumes
26. Degree growth, orbit graphs, and functoriality for birational dynamical systems
27. The Categorical Local Langlands Correspondence and Anabelomorphy
28. Quantum Betti geometric Langlands functor
29. Siu's analyticity theorem for positive pluriharmonic currents
30. Stable complete coordinates for multisets of points via basic $r$-symmetric tropical polynomials

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-29/

1. Any-dimensional Positivstellens\"atze for symmetric functions
2. The derived moduli of perverse sheaves
3. Varieties with Ulrich exterior powers of the tangent bundle
4. Curves in High Degree Plane Pencils with Bounded Degree Components
5. On the maximal variation problem and Lefschetz pencils
6. General position on Severi--Brauer surfaces
7. Enumerating matrices with prescribed entries in an adjoint orbit
8. Abelian Orbifolds for Brane Brick Models
9. The quantum connection and its mod p reduction

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-26/

1. Inducing t-structures on semiorthogonal components
2. $e$-polynomials of character varieties
3. Generalized Zariski cancellation for Brieskorn--Pham varieties
4. On a counterexample to a conjecture of J. Harris for octic surfaces
5. On a conjecture by Koll\'ar and Sacc\`a
6. Automorphism Groups of Uniform Dessins d'Enfants of Genus at Least Two
7. Curves contained in a quartic determinantal surface containing a line
8. Hall Geometry and Auslander-Reiten Quiver
9. Motive Theory Hidden in Karaji-Pascal Triangle
10. Polar Degrees of Matroids
11. Generating Special Triangulations with Transformers
12. Groups of type $\mathrm{E}_8$ over rings via TKK-algebras and their extremal elements
13. Rank-Two Drinfeld Module over Elliptic Curves
14. The Second Vanishing Theorem in Ramified Mixed Characteristic
15. Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry
16. Quantitativity in the Mordell Conjecture
17. Linear Spaces over Perfect Idylls
18. On the deformation theory of chiral quantizations

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-25/

1. Weddle schemes
2. On Automorphism Groups of (1,2)-Surfaces
3. Extremal Effective Cycles and Nef Line Bundles on \(\overline{\rm{M}}_{g,n}\)
4. Symmetric tensor decomposition on rational varieties
5. Extensions of maximal symplectic groups acting on the superspecial K3 surface in characteristic $p$
6. Variation on a theme of Beauville-Voisin
7. Rational (quasi-)elliptic surfaces with global vector fields in odd characteristic
8. Polynomiality of the Generalized Verschiebung Degree
9. Nonsimilar half-neighbors over fields of characteristic 2
10. Point Singularities and Bubbling in Degenerations of Rank-Two Bundles on Threefolds
11. Sums of squares in polynomial time
12. Hyperelliptic Atkin-Lehner quotients of Shimura curves
13. Total positivity and symmetric spaces
14. Profinite Borel completeness and smooth Artin motives
15. Potential semistability of Finite height Galois representations: Relative case

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-24/

1. Chiralization of Quiver Varieties
2. Polynomials of minimal border rank
3. \'Etale Fundamental Groups -- a geometric and topological approach to fundamental groups in algebraic geometry
4. Essential dimensions of polarized endomorphisms of certain algebraic surfaces
5. On the Sharpness of Khovanskii's Bezout-type Bound for Pfaffian Functions
6. A characterization of virtually free actions via arc spaces and its application to the lower semi-continuity conjecture
7. Amitsur groups of primitive Fano threefolds
8. A Littlewood-Richardson Rule for Forest Polynomials via the Schubert Bialgebra
9. Non-asphericity of strata of genus-one differentials and stability spaces
10. Brane quantization of $A_n$-resolutions
11. Elements in $K_4$ and regulator maps of Fermat curves
12. Irreducible noncommutative quadrics
13. Vertex Superalgebras for Hypertoric Varieties and 3d Abelian Gauge Theories

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-23/

1. The Parity of Invariant Characteristics
2. Moduli Spaces of Degree Two Rational Maps with Portraits Up to Six Points
3. Multigraded Regularity of the Complete Flag Variety
4. Mutation of Fano Simplices and Markov type equations
5. Self-inverse linear subspaces of matrices
6. A cellular (co)homology computation for $\overline{M_{0,n}}$
7. Zombie Compositions in Assembly Algebras and an Upper Bound on the Size of Chemical Space
8. Hilbert's 16th problem for arrangements of curves on a surface
9. Weighted projective degenerations of $\mathbb{P}^{n}$
10. Elementary solutions of ordinary tropical differential equations, and vanishing orders of solutions of algebraic differential equations
11. A strong version of the Beauville-Voisin conjecture for certain hyper-K\"ahler fourfolds
12. The Mori cone of certain Hassett spaces
13. The Hermitian Distance degree of Tensor spaces
14. An organizing principle in the study of the Jacobian Conjecture
15. Computing framed motives
16. Bloch's conjecture for equivalences between twisted abelian surfaces and applications
17. Smoothability of the one-step loci with Hilbert functions $(1,5,6)$ and $(1,5,7)$
18. From Logarithmic Limit Sets to Algebraicity
19. Jacobian algebras and variation of hyperplane sections
20. Ogus's conjecture on F-isocrystals
21. Tangent classes for matroid building sets
22. Generalized Ueda Obstruction Classes and Applications to Non-semi-positivity of Line Bundles
23. Birational Algebraic Topology
24. Bianchi groups and automorphisms of rank-four $K3$ surfaces
25. Frobenius type positivity of Hodge bundles and applications
26. A conjecture on the action of Hecke operators
27. Hyperplane anti-Bertini embeddings over finite fields
28. On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds
29. Connections, metrics and Higgs fields on complex fiber bundles
30. On Bounds of Extension Degrees for Similarity of Integral Matrices over Number Fields
31. Shifted Symplectic Fibrations and Derived Thurston Theorem
32. Lie subalgebras of vector fields on curves
33. Isogeny graphs associated to Moret-Bailly families of supersingular abelian surfaces
34. Geometry of $\mathbf{F}_1$ and Cuntz-Krieger algebras
35. Sums of squares on curves and surfaces
36. Smooth Solutions to Systems of Linear Inequalities on $\mathbb{R}$
37. Positive holomorphic sectional curvature on rational surfaces
38. On Two Approaches to Cluster Structures on Partial Flag Varieties

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-19/

1. Quasi-affine schemes and singly compactly generated $t$-structures
2. Calculating Archimedean Height Pairing via generalized cross-ratio
3. A simple proof for Hochster's Theorem
4. Spectral and Logarithmic Atiyah Classes for Higgs Bundles
5. Wild automorphisms and compound isotriviality
6. Anti-Zariski pairs
7. Symplectic duality for the constant term of the geometric Eisenstein series
8. Plane curve singularities and Fitting ideals
9. On Ziegler pairs of line arrangements: from non-existence to abundance
10. Eigenvector Varieties
11. \'Etale and Quasicoherent Cohomological Dimensions of Subspace Arrangements

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-18/

1. Constant cycle surfaces on Fano varieties of cubic fourfolds
2. Irreducible symplectic varieties via K3-del Pezzo double covers
3. A Pascal-type construction of the Segre cubic and the Cremona--Richmond configuration
4. Algebraic Networks and Architectural Degenerations
5. Coincidence Correspondences and Nonlinear Root Geometry
6. Isomonodromic deformations, $\mathbb C^*$-actions, and characterization of non-abelian Noether-Lefschetz loci on Dolbeault moduli spaces
7. A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity
8. Non-archimedean Green currents for the zero-locus of a regular section
9. Holomorphic tensors on products of algebraic cones
10. The Moduli Space of Twisted Exact Differential Forms on Curves in Positive Characteristic
11. Factorizations of linearized polynomials and extremal curves in odd characteristic
12. Closing two recent conjectures related to the Jacobian ideal of hyperplane arrangements
13. Symmetric and Isotypic Hilbert Series for Symmetric Ideals
14. Brave new categorical spectral positive Schubert geometry and the categorical Dual Amplituhedron
15. On the bisections of a local Lie grpoupod

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-17/

1. On the analytic equivalence of branches in (n+1)-space
2. Schubert varieties for the super affine Grassmannian of $GL_{n|m}$
3. Extension of Ulrich bundles
4. On the image of Hitchin morphism for some classical groups on algebraic suefaces
5. Sphericality of spaces of conics on homogeneous spaces
6. Naive atoms of blowups: examples
7. A remark on rational quartic curves in prime Fano threefolds of degree $22$
8. Weak Hodge Theorem on Piecewise-Algebraic Spaces
9. Exceptional collections for canonical stacks of log del Pezzo surfaces with $\frac13(1,1)$ singularities
10. Principal symmetric ideals in the coordinate rings of curves
11. Spectral Intertwining Operators
12. Single-valued polylogarithms for higher genera

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-16/

1. Cohomology of Flag Superschemes and Syzygies of Compositional Varieties
2. Dichotomy for the p-primary Brauer-Manin obstruction in characteristic p
3. The Chow ring of $\mathcal{S}_5^-$ is tautological
4. A coproduct obstruction for derived unramified cohomology
5. Non-Archimedean balanced metrics and their application to totally degenerate abelian varieties
6. Inner Lipschitz Geometry of Complex Surface Germs with Non-Isolated Singularities: A Complete Classification
7. Blow-Up Constructions and Applications to Segre Classes and Multidegree Formulas
8. Torsors of Generalized del Pezzo Tori and Brauer Groups
9. The integral closedness of lattice simplices with large lattice length
10. Euler Stratifications of Second Hypersimplices via Delta-matroids
11. Higher cotangent cohomology for Stanley-Reisner rings
12. The Grothendieck-Katz Conjecture for privileged local systems
13. Very stable parabolic $G$-Higgs bundles and affine flag varieties
14. Bounds for Genus Zero Gromov-Witten Invariants
15. When is Frobenius epic?
16. Quadratic one-forms on logarithmic Higgs moduli
17. Noncommutative resolutions of affine Schubert varieties in type A and canonical bases
18. Residue ideals of hyperplane arrangements
19. $q$-Deformed Topological Recursion, Weight Vectors and Algebraic Structures
20. Determinant majorization for hyperbolic polynomials on Euclidean Jordan algebras
21. A diffeological perspective on non-Abelian Hodge theory

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-15/

1. Strictly Semistable Quasimaps on the Wall
2. Semistable reduction of smooth quartics
3. AKSZ Construction for Shifted Contact Structures
4. Explicit local stable resolution of cusps
5. Nonsimplicial toric Nullstellensatz and stacky GKZ theory
6. Explicit Homology Representation for Finite Groups Acting on Riemann Surfaces
7. Adelic line bundles over a N\'eron model
8. Lang-Vojta conjecture over function fields for very general log projective spaces
9. Artin-Schreier Root Stacks and lifts of group actions
10. Automorphism groups of non-normal affine toric surfaces
11. Fano manifolds with complete intersection type VMRT
12. Invariant polynomials and Mukai's models of moduli spaces of curves and K3 surfaces
13. Duality for t- modules: The Difficult Cases
14. A note on o-minimal tropicalizations
15. Sorries Are Not the Hard Part: An Expert-Review Case Study of a Semi-Autonomous Formalization
16. Nodal degeneration of chiral algebras II: Local structure and chiral Zhu algebras
17. Higher syzygy bundles and the Eisenbud-Huneke-Ulrich conjecture
18. Quasi-Classical Braverman--Kazhdan Intertwiners via Quiver Varieties

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-12/

1. Functorial stratifications of singularities in characteristic 0
2. Algebraic cobordism rings of wonderful varieties and matroids
3. Fence Complexes and Toric Degenerations of Positroid Varieties
4. Valuative criteria for adic spaces
5. Families of smooth Fano fourfolds of Picard rank 1 without Bott vanishing
6. Scaffolds for Higher Tropical Grassmannians: Foundations
7. Noncrossing Duality and the Geometry of Positive Tropical Linear Spaces
8. Splitting of Polynomial Families via Galois Theory
9. Existence of pseudo-holomorphic disks via non-archimedean disk potentials
10. A $q$-analogue of the rational normal curve and linearized Reed-Solomon codes

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-11/

1. Answer to a decomposition question on tori raised by Colliot-Th\'el\`ene and Sansuc
2. Stratification of moduli spaces of instantons on the Segre product of three lines via 't Hooft bundles
3. Non-symplectic Indices of Automorphism Groups of Smooth Cubic Fourfolds
4. Brauer groups of smooth loci in linear systems and torsors over Jacobians of plane curves
5. Degree of tensor train varieties via integral geometry
6. Algebraic Varieties and Ideal Theory in Combinatorial Click-Reaction Design
7. Kuznetsov components and transcendental motives of cubic fourfolds
8. Moduli of Supersingular Abelian Varieties in Dimensions $g\leq 5$
9. Regularity is bounded on a quasi-excellent Noetherian scheme
10. The p-adic Cauchy Theorem and Overconvergent Period Sheaves
11. On the metalinear algebraic cobordism spectrum
12. Modular variants of p-adic fundamental sequence
13. On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring
14. Poisson three-folds constructed from co-Higgs bundles on Hopf surfaces

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-10/

1. Derived Geometric Methods in Supergeometry: Transmutations and their Cohomology
2. Ind-Banach approach to Grothendieck duality in Rigid-analytic geometry
3. Large automorphism groups compared to the $p$-rank of algebraic curves in characteristic $p$
4. The crystalline cohomology of covers with a cyclic $p$-Sylow subgroup
5. Galois self-covers of projective spaces and essential dimensions
6. On superspecial hyperelliptic curves of Rosenhain forms
7. The convergent stack
8. The minimum genus of Galois covers of curves
9. Topology and Euler characteristics of tropical varieties
10. PCMI lecture notes: Motivic explorations in enumerative geometry
11. Coble type hypersurfaces and hyperk\"ahler fourfolds
12. Linearizability notions in equivariant birational geometry
13. On the rank of hypergeometric sheaves on higher dimensional tori
14. A correlated refinement of the double double ramification cycle
15. Equivariant Contact Darboux Quotients and Perversely Categorified Legendrian Correspondences
16. A generic categorical local Langlands correspondence for quasi-split reductive groups
17. Kernel theorems for rigidly-compactly generated $\infty$-categories
18. Hilbert irreducibility for algebraic points
19. Eisenstein-Kronecker classes on Hilbert moduli spaces and a new construction of Katz's $p$-adic measure
20. There are matroid toric ideals without quadratic Gr\"obner bases
21. A symmetric determinantal lower bound for diagonal power sums via polar degree

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-09/

1. On the Vinberg Family of K3 Surfaces
2. B-model Categorical Enumerative Invariants and holomorphic anomaly equations
3. Tangential morphisms via log arithmetic geometry
4. Distance, Normals and Double Normals for Real Plane Curves with Singularrities
5. Deformation Theory and Torus-Fixed Geometry of the Nested Hilbert Scheme of Points
6. Geometry of Holomorphic One-forms on Smooth Projective Varieties
7. K\"ahler thresholds
8. Newton--Okounkov bodies of partial flag varieties via cluster algebras
9. Projective subvarieties of Bogomolov-Guan manifolds and quasi-diagonals in products of elliptic curves
10. Algebraic Hodge generic points are dense
11. Elliptic orbifold lines and integrable hierarchies
12. On the minimal model theory for generalized pairs of relative log numerical dimension zero
13. Real algebraic varieties and their intersection cohomology
14. Equivariant deformations of isolated singularities and applications
15. Seshadri constants and hyperelliptic curves on abelian varieties
16. Bertini theorems for Hilbert-Samuel multiplicity over finite fields
17. PhD thesis: Fixed points in Higgs bundle moduli spaces and the Prym--Narasimhan--Ramanan construction
18. Moduli spaces of type II twists
19. The relation type of point configurations in the projective plane
20. Effective quasianalytic Remez inequalities on tame sets
21. Linked sheaves of modules
22. Solution Module and Linear Closure
23. An elliptic approach to Reid's fantasy
24. Locally finite sets of derivations
25. The measure of maximal entropy for random skew products on compact complex surfaces
26. Semistability and asymptotics of geometric flows
27. Colocalizing subcategories on differentially graded algebras
28. Explicit and asymptotically good constructions of Algebraic Geometry codes in the sum-rank metric

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-08/

1. On the Absolute Geometry of $\operatorname{Spec}\mathbf{Z}$
2. Compactified supermoduli space is almost never projected
3. Orbifold Uniformization of Complex Algebraic Variety by Stable Parabolic Higgs Bundle
4. Seshadri constants and Gromov widths of toric varieties associated with generalized permutohedra
5. Parabolic second-order tangent sets of semialgebraic sets and applications to polynomial optimization
6. Polyhedral models for K-theory of toric and flag varieties
7. On periods and Jacobians of Heisenberg curves
8. Structured matrix factorization length
9. Gamma conjecture II via global Gamma-I
10. Exact output statistics of Icart's encoding in the exceptional \(j=0\) case
11. The singular cohomology ring of a uniform matroid: combinatorics and Lefschetz properties
12. Ideals defining components of two-row Springer fibers

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-05/

1. A Counterexample to Bhatt-Lurie's Cohomological Dimension Conjecture
2. Arithmetic Kashiwara Regularity and Orbit Classification for Filtered Strongly Equivariant $\mathcal{D}^{\dagger}$-Modules
3. Higher order isomonodromic deformation of Higgs bundles and a characterization of the non-abelian Noether-Lefschetz locus
4. Ulrich wildness of some decomposable threefold scrolls over $\mathbb F_a$
5. Non-projective complete log canonical surfaces
6. Coherent sheaves on subvarieties in Hopf manifolds
7. Higgs bundles on the Fargues-Fontaine curve
8. Quot spaces in tilted hearts and Hall algebra modules
9. Algebraicity of exterior Cauchy transforms of algebraic ovals: a homological formulation
10. Perverse filtration on Hilbert schemes via upward flow
11. The Euclidean algorithm, lotuses and singularities
12. Kaleidoscopes, Waves and the Prepotential
13. Hodge theory and $G_4$ fluxes in weighted projective spaces: Galois action
14. Benchmarks in Leipzig
15. Frayed Demazure weaves for Poisson-compatible cluster structures on Bott--Samelson charts
16. On the construction of K-contact non-Sasakian Smale-Barden manifolds
17. Arithmetic Wu Formulas and the Generalized Hecke Theorem
18. Decomposition Theorem for Perfectoid Rings along General Ideals

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-04/

1. Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities
2. Transversal unfoldings of derived foliations
3. A Note on Jacobians with Prescribed Factors
4. Modeling Rozansky-Witten Theory with Sheaves of Categories
5. Existence of ACM Bundles on Polarized Abelian Variety
6. Weak Brill-Noether bundles on nodal Enriques surfaces
7. The Azumification of orders
8. On the First Caustic of Elliptical Billiards
9. Mirror symmetry for the Painlev\'e character varieties
10. The leading constant in Malle's conjecture
11. Slices of the special linear algebraic cobordism spectrum

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-03/

1. On the fibers and semi-algebraicity of ReLU neuromanifolds
2. Cohomology of complex supertori
3. Syzygies of Isotropic Kalman Varieties
4. On $\mathbb J$-strata with Parahoric Stabilizers in Affine Deligne-Lusztig Varieties
5. Bondal's conjecture in dimension five
6. Improved unirationality for GL-varieties
7. Modular inequalities and Alexander polynomials of pencil type conic-line arrangements
8. HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$
9. Complete Families of Curves in the Moduli Space of Genus g Curves
10. On the Schematic and Analytic Constructions of the Local Langlands Category
11. On the gap of quiver representations
12. On the geometry of non-collapsed polarized cscK surfaces
13. Weight filtrations via slopes
14. Linearisation problem under finite \'etale cover
15. The Value Function Semi-Algebraic Set in Partially Observable Markov Decision Processes
16. Towards the Relative Langlands Duality for Orthosymplectic Pairs
17. Amplituhedra and origami, II: loop level
18. The Abel--Jacobi map over the twistor-$\mathbb{P}^1$ and real local class field theory

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-02/

1. Properties of deformed mass and phase functions
2. Moduli space of genus one curves on quartic and quintic del Pezzo threefolds
3. On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness
4. Extremality of tautological classes of matroids in nef cones
5. On generalized Weierstrass semigroups in linearized function fields
6. Algebraic Magnetism: $X$-products of attractors via $\mathbb{F}_1$-geometry
7. Space of prime congruences in tropical geometry
8. A note on SG points for reduced plane curves
9. Localizing subcategories for algebraic stacks
10. Stable Degeneration, Non-degenerate Forms, and Kaledin's Conjecture
11. Verifying global identifiability of parametric linear ODE models is NP-hard
12. On the $P(t)$-adic Littlewood conjecture in odd characteristics
13. The categorical local Langlands conjecture
14. Additive Rigidity for Images of Rational Points on Abelian Varieties II: The General Case
15. Lie-Rinehart and Poisson algebras over $C^\infty$-ring
16. Constructing Discontinuous but Locally Bounded Rational Functions using \L ojasiewicz Inequalities
17. Perverse filtration on the cohomology of affine Springer fibers
18. Intrinsic Subgroups and the $\ell$-adic Galois image
19. Jordan types for pairs of commuting nilpotent matrices: A survey
20. Finding the complement of an elliptic curve inside a Jacobian

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-01/

1. Equivariant irrationality of very general symmetric Verra fourfolds
2. Quantum cohomology and birational geometry of Verra fourfolds
3. Minimal Trivializing Isogenies of $\mathbb{G}_m$-gerbes over Abelian Varieties and Period-Index Problem
4. Cuspidal dicritical foliations and analytical invariants of cusps
5. The singular locus of a GL-variety
6. Cylinders in Fano threefolds of genus 9 and 10
7. On the geometry of Certain Non-Basic Affine Deligne-Lusztig Varieties
8. The $\mu$-Trace System
9. Shimura data and corners: cohomology
10. K-semistability and singularities of normal affine cones
11. The classification of integral endotrivial complexes

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-29/

1. Autoequivalences of Derived Categories of Moduli Spaces of Vector Bundles
2. Higgs Grassmannians
3. Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof
4. Hilbert polynomials of the first and second secant varieties
5. Autoduality of compactified Pryms for \'etale double covers of curves with planar singularities
6. Remarks on hypersurfaces in $\mathbf{P}^1\times Z$
7. Superspecial plane quintics with large automorphism groups
8. Lift-independence problem in the $P$-adic Simpson correspondence for curves
9. The multiple cover formula for $K3$ and abelian surfaces
10. A solution to the Yau-Tian-Donaldson Conjecture through Special Fujita Approximations
11. Hodge numbers of moduli of principal bundles on a curve
12. A note on Azumaya algebras and one-forms
13. Cohomology of the Moduli Stacks of Real Vector Bundles on Type I Real Algebraic Curves
14. The quartic threefold is symplectically irrational
15. Polynomial contractions of $\mathbb C^d$ and degree growth
16. Canonical extensions of $p$-adic shtukas on toroidal compactifications of Shimura varieties
17. Semi-Bousfield classes and nonmonotone perversities

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-28/

1. Completed volumes and the DR-cycle
2. Odd Kn\"orrer periodicity as a double cover
3. Contact Invariants for Plane Curves in a Pencil
4. Stacky geometry and logarithmic topology of transversely affine foliations
5. Indicial polynomials and $b$-functions of $D$-modules along arbitrary varieties and their computation
6. Examples of infinitely many $(-1)$-curves with higher genus on elliptic surfaces
7. Projective K3 Surfaces with integral Zariski decompositions
8. Singularity criteria for K-stability of adjoint foliated structures
9. Holomorphic Lie algebroid connections over rationally connected varieties
10. Brauer--Manin obstruction from failure of Kodaira vanishing in positive characteristic
11. Reflective lattices and hyperkahler manifolds
12. Twisted homology jump loci, twisted Alexander polynomials, and $\Sigma$-invariants
13. On the support of admissible subcategories
14. Spinorial Fano manifolds
15. Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes
16. Weighted Seshadri constants and ellipsoid embeddings
17. Inversion of the Multiplicative Matrix Compound Operator
18. Jordan types commuting with a hook partition
19. Inflection curves of rational vector fields
20. Locally recoverable codes from elliptic surfaces with availability and hierarchical locality
21. Disjunctive Sum of Squares

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-27/

1. $\mathbf{F}$-jumping numbers can be irrational
2. Contracted divisors and Degree-Two Maps
3. Varieties admitting a holomorphic symplectic form: LLV algebras and derived equivalences
4. Refined index obstructions for Brauer classes on an abelian variety
5. Foliations, slope stability, and positivity of log canonical bundles on Deligne-Mumford stacks
6. Equivariant Maximal Cohen-Macaulay sheaves on the minimal orbit closures
7. The Calculus of Blowups on a Ruled Surface
8. Retraction of the complement of smooth projective curves to a $2$-dimensional $\Delta$-complex
9. Absolutely indecomposable quasi-parabolic $G$-bundles and the multiplicity of irreducible characters
10. Blowups, Gale duality, and moduli spaces
11. Vanishing of cohomology in infinitely ramified towers
12. A classification of triangular Riemann surfaces with $2p^2$ automorphisms
13. On modular inequalities for plane projective curves
14. On the category of semi-graded modules
15. About top-degree $L^2$- and $L^{2,\mathrm{loc}}$-Dolbeault cohomologies of complex spaces with pseudoconvex boundary
16. Vertex operator algebras, partition functions and Teichm\"{u}ller modular forms
17. Rank-two recurrence results for polynomials and questions of dynamical Mordell--Lang type
18. Ekedahl-Oort strata under natural embeddings of orthogonal and unitary Shimura varieties
19. Residual regularity in tensor triangular geometry
20. Structural properties and tilting correspondences of perfectoid towers

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-26/

1. Geometry of Neighborhoods of Minimal Rational Curves
2. Arakelov inequality for families of pairs
3. The Stratified and the Strong Maximal Rank Conjecture in $\mathbb{P}^3$ and $\mathbb{P}^4$
4. A Nilpotence Theorem for Rational Rigid 2-Rings of Moderate Growth
5. Tropical cohomology via reductions of tropical varieties
6. Degree Bounds for Amoeba Contours
7. Tropical Degrees and Stable Intersections
8. Canonical Projectivization of Smooth Complete Toric Varieties
9. (Quasi-)affineness of perverse character varieties
10. Moduli of parabolic bundles on an elliptic curve
11. Newton-Okounkov Bodies and Jet Separation: Canonical-Free and Multipoint Generalizations
12. Affine models for Noetherian schemes
13. On the Maximality, Weierstrass Semigroups, and Automorphism Group of the Curve $Y^{q+1} = X^n(X^n + 1)$
14. Positivity in classical enumerative geometry: a case study in synchronized AI-assisted mathematics
15. Multivariate V-filtrations and the Strong Monodromy Conjecture for hyperplane arrangements
16. The strong monodromy conjecture for hyperplane arrangements
17. Uniformization as Tannakian Reconstruction
18. Lower Bounds on Essential Dimension for Congruence Covers of Mixed Shimura Varieties
19. Seshadri constants of Higgs Vector bundles
20. Jordan property of birational automorphism groups of surfaces and birational permutations
21. Classification of objects in the singularity categories of rational double points in arbitrary characteristics
22. Semiorthogonal decompositions for stacks
23. Proxy smallness meets $t$-structures
24. Movable curve classes and slope stability on Deligne-Mumford stacks
25. The limits of Schur multipliers in P\'olya conversion problems for the $q$-permanent function
26. On exotic rationally integrable planar dual billiards I. Complex geometry and type of dynamics
27. Explorations of Matroid Complexes
28. Beyond Algebraic Solutions to Stringy Spacetime
29. Inductive approach to chromatic and characteristic polynomials
30. Hilbert-90 quotient maps, torsion defects, and symmetric monodromy
31. Random Permutations from Bott-Samelson Varieties

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-25/

1. Optimal embedding dimension in the Nash--Tognoli theorem
2. Invariants of real affine varieties based on their complexifications
3. Positivity in the context of Hodge modules and Higgs bundles on Deligne-Mumford stacks
4. Functional codes arising from rank $n$ Hermitian varieties and hypersurfaces in low dimensions
5. Tropical Cartan's second main theorem for hyperplanes in general position
6. Cartier algebras through the lens of $p$-families
7. What is the Geometric Langlands Correspondence about?
8. Multi-valued Morse homotopy for the SYZ mirror of the complex projective plane
9. Commutator-Induced Uncertainty in VAEs
10. Linear spaces of rational integrable 1-forms

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-22/

1. Non--tautological cycles on Prym moduli spaces
2. K-stability of adjoint foliated structures
3. Algebraic and analytic Brauer groups of homogeneous spaces
4. Birational and $\mathbf{A}^1$-invariant lattices in the cohomology of the structure sheaf over non-archimedean fields
5. On a question of Mauri and Moraga
6. On defective spans of singular vector tuples beyond the boundary format
7. On Cox Rings of Calabi-Yau hypersurfaces
8. Beyond descendants: integrable observables for cohomological field theories
9. A question on klt type varieties of Han and Jiang
10. On the structure and generic non-Cartesianity of polynomials in product spaces
11. Positivity of Higgs Vector Bundles
12. Whittaker groups and hyperelliptic curves
13. Ishii's conjecture and Bridgeland stability conditions for dihedral reflection groups
14. Divisibility phenomena in motivic Bloch--Ogus theory
15. A condensed proof of the pro-\'etale and \'etale exodromy theorems
16. Symplectic and projective small covers over products of polygons
17. On the cohomological classification of vector bundles on smooth real affine surfaces and threefolds
18. Shokurov's global index conjecture for threefold foliations
19. Boundedness of total Cartier indices for rational singularities in families
20. Large Order Enumerative Geometry, Black Holes and Black Rings
21. Landau-Ginzburg models of generalised Dubrovin-Zhang form and pole collision: Dynkin-type A
22. Constructions of Rank-Metric Codes of Small Tensor Rank
23. BCM-regularity of diagonal hypersurfaces and plus-pure thresholds in mixed characteristic
24. The nearby Lagrangian conjecture for pinwheels
25. A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-21/

1. On the Hodge and Tate conjectures for moduli spaces of curves
2. Infinite transitivity and polynomial vector fields
3. On a question of Koll\'ar and Kov\'acs
4. An example of a very non-movable effective divisor
5. The pro-\'etale fundamental group of singular schemes
6. Optimal bend-and-break for foliations
7. On the Riemann-Roch formula: old and new
8. A construction of tame sheaves and tame de Rham--Witt cohomology
9. Smooth categories in a 6 functor formalism and compact generation for nuclear categories in analytic geometry
10. Serre functors and local duality for affine quotients
11. n-trivial extensions and multi Hasse-Schmidt derivations
12. Improved bounds on the number of holomorphic maps between compact Riemann surfaces
13. Mirror Symmetry of the Affine Toda Systems

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-20/

1. Outer Type Severi-Brauer Schemes
2. Remarks on basepoint-freeness thresholds of polarized abelian surfaces
3. Weak and strong Lefschetz properties for Hartshorne-Rao modules of curves in $\mathbb P^3$
4. Deformations of morphisms of coherent sheaves
5. Bogomolov Decomposition and Compact K{\"a}hler Manifolds of Algebraic Dimension Zero
6. Higher singularities for hypersurfaces
7. A recursion for the volume of the moduli space of hyperbolic spheres
8. Random products of birational maps: Equidistribution of preimages of curves
9. Manin's conjecture for semi-integral curves and $\mathbb A^1$-connectedness
10. A lifting partition theorem for tropical tritangent classes to smooth space sextic curves
11. Enumerative Geometry on KSBA moduli spaces
12. Enriques' characterization of Abelian surfaces in positive characteristic
13. Chow and cohomology rings of moduli stacks of plane quartics
14. Zero cycles on Severi--Brauer flag varieties
15. Motivic Galois theory for one-loop Feynman integrals in momentum space
16. Toric Landau-Ginzburg models in threefold divisorial contractions
17. Planar multilinks and rational singularities
18. On optimal $p$-adic uniformization of unitary Shimura curves
19. $K$-theoretic Hall algebras and Coulomb branches
20. Tensor triangular geometry -- Notes for an Oberwolfach Seminar
21. The Hitchin and Knizhnik-Zamolodchikov connections are projectively equivalent in the genus zero case
22. Haiman's Conjecture and Springer's Representations

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-19/

1. On positivity of the limit F-signature
2. Automorphisms of the moduli space of smooth cubic surfaces and its fundamental group
3. Tropical curves with parallel rays
4. Moduli of Persson surfaces: The compactification via KSBA stable pairs and a generic global Torelli type theorem
5. Generic $\mathcal{A}$-finite determinacy and singularities of homogeneous polynomial mappings
6. Rationality problem for norm one tori of tensor products of \'etale algebras and Hasse norm principle
7. On the poles of zeta functions for finite morphisms between normal surfaces
8. $\mathbb T$-homogeneous locally nilpotent derivations of trinomial algebras
9. Logarithmic Hilbert schemes of curves as weighted blow-ups and their integral Chow rings
10. Genus formulas for dormant modular curves and asymptotic behavior of their function fields
11. Duality for dormant opers of classical types B and C
12. Degenerations and Stability of K\"ahler Structures on Calabi--Yau Manifolds
13. Chern classes of Laughlin bundles on the quasihole moduli space
14. Zero-cycles on Moduli Spaces of Twisted Sheaves and Applications to Double EPW Quartics
15. Lie algebroid Connections, Moduli of $\mathcal{L}$--twisted Principal Objects and motives
16. 2-dimensional finite-gap Schr\"{o}dinger operator whose spectrum admits two involutions
17. Picard bundles and the degree of irrationality of Jacobians
18. Spherical Milnor Spaces II: Projective Quotients and Higher Topological Structures
19. Holomorphic disks and GIT quotients
20. Rank varieties over the generic hypersurface I
21. Decay of weighted cusp counts for congruence subgroups of $SL_2$ over number fields
22. Computing points in connected components defined by a real inequation: algorithms, complexity and implementations, Part I
23. The Symmetries of Three-Layer ReLU Networks
24. Monodromy of Calabi-Yau threefold flops via grade restriction rule and their quantum Kahler moduli

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-18/

1. The Tropical Moduli Space of Degree-3 Rational Maps
2. A category of graded matrix factorizations of a deformed polynomial associated to the $A_{\mu}$-singularity
3. Homological Mirror Symmetry for Conic Bundle
4. Exponential concentration for quantum periods via mirror symmetry
5. Explicitly combing hedgehogs over fields of Stufe 4
6. Representability of the automorphism group of finitely generated vertex algebras
7. Projections of convex polytopes to a line and higher univariate Prony systems
8. Duality of analytic Hopf algebras and the Amice transform
9. On Drinfeld's representability theorem

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-15/

1. On the DCC Property of Iitaka Volume with Real Coefficients and Generalised Pairs
2. Construction of Non-special Divisors on Kummer Covers With Arbritary Ramification For LCP Codes
3. Degeneration Theorems of Connes and Feigin--Tsygan Type in Mixed Characteristic, with q-Analogues
4. The Localization Theorem for the Motivic Homotopy Theory of Complex Analytic Stacks and other Geometric Settings
5. Weierstrass semigroups at totally ramified places of degree one on Kummer extensions
6. Kuznetsov components ans transcendental motives of cubic fourfolds
7. Frobenius--Witt cotangent complexes
8. Fourier transform and exponential Hodge modules
9. Counting symmetric unimodular triangulations
10. Numerical characterizations for integral dependence of graded modules
11. Non-vanishing of homotopy groups of Manin--Schechtman arrangements
12. Reducibility of spectral curves of finite Jacobi pencils
13. Complete simplicial fans, Stanley--Reisner rings, and equivariant h-polynomials

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-14/

1. Notes on Lie derivatives, algebraic D-varieties, and Ax's theorem
2. Orbits of subgroups of codimension one to four of the Iwahori group in the affine flag variety of $\text{SL}_2$
3. Tautological modular forms of level two and degree two
4. Remarks on diagonal dimension for algebraic stacks
5. Quadratic Euler Characteristic of Geometrically Cyclic Branched Coverings
6. On Ramanujam's Theorem About Finite Fimensional Groups of Automorphisms
7. Solvable Automorphism Groups of Varieties
8. Infinitesimal automorphisms and obstruction theory on the moduli of $L$-valued $G$-Higgs bundles
9. Euclidean distance degree defect of singular projective varieties
10. A Derived Legendrian Category for Shifted Contact Stacks
11. Tilt-stability on singular schemes and Bogomolov-Gieseker-type inequalities
12. Graphs of Hecke operators in mixed ramification
13. Componentwise height bounds for polynomial value-set lifting
14. Semi-interlaced polytopes
15. Strategic PAC Learnability via Geometric Definability

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-13/

1. Theta functions for singular curves
2. Functoriality of logarithmic Hochschild homology of log smooth pairs
3. Evaluation codes from linear systems of conics
4. Automorphism Groups of Reductive and Root Monoids
5. Geometric Construction of the McKay-Slodowy Correspondence
6. The equivariant Milnor-Witt motive of $\overline{\mathcal{M}}_{1,2}$
7. K-theory of Gieseker variety and type A cyclotomic Hecke algebra
8. Positive Geometries from Cubic Surfaces
9. Double Veronese cones with singularities
10. Representations of Reeb spaces via simplified graphs and examples
11. The real Jacobian conjecture for maps with one component having degree 6
12. Symmetry in Equivariant cohomology of $\mathbb{P}^n$
13. The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_2$ of some elliptic curves
14. Infinitesimal random dynamics of certain Veech groups on SU(2)-character varieties
15. Local height arguments toward the dynamical Mordell-Lang conjecture
16. Condensed Mathematics and Complex Geometry

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-12/

1. Equivariant Quotients of Derived Symplectic Spaces and Legendrian Intersection Theorem
2. Equisingularity in families of double point curves
3. Kodaira dimension of algebraic fiber spaces over threefolds : Part 1
4. Refined obstructions to local-global principles for 0-cycles
5. Merge-position invariance in quadratically enriched tropical floor diagrams
6. A curve and its abstract generalized Jacobian
7. Generic vector fields on isolated complex hypersurface germs
8. On the tangent degree and the degree of the tangent variety of a projective variety
9. Refined lattice point counting on the moduli space of Klein surfaces
10. The equations of general Hassett maximal cubic fourfolds
11. Plane rectifiable curves: old and new
12. Grothendieck Weights on Permutohedral Varieties and Matroids
13. Centralizers of the complex orthogonal and symplectic group
14. Geometric Shafarevich boundedness conjecture for families of polarized varieties
15. Homological sieve and Manin's conjecture
16. Quasi-Projective Moduli for Polarized klt Good Minimal Models
17. Polarized cylinders on blow-ups of weighted projective planes
18. On Galois categories and condensed contractible schemes
19. Two-dimensional Virasoro algebras
20. Canonical forms and moment-generating functions of plane polypols
21. Some remarks on degeneracy of tridimensional tensors
22. On coupled K\"ahler-Einstein metrics and weighted solitons on Fano manifolds
23. Non-$R$-trivial proper projective similitudes in type $A_3\equiv D_3$
24. Rational points on smooth surfaces in $\mathbb{P}^3$ over finite fields
25. Highly connected non-formal Milnor fibers via polyhedral products
26. Minimal Filling Architectures of Polynomial Neural Networks: Counterexamples, Frontier Search, and Defects
27. Symplectic log Kodaira dimension $-\infty$, Hirzebruch--Jung strings and weighted projective planes
28. Middle convolution for Lie algebra representations

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-11/

1. Corrigendum to `Evaluation of motivic functions, non-nullity, and integrability in fibers', Advances in Mathematics, Vol. 409, Part A, Paper No. 108635, 29 pages, doi:10.1016/j.aim.2022.108635 (2022)
2. The Local Bourbaki Degree of a Plane Projective Curve
3. Weight of the De Rham-Betti Structures of Abelian Varieties
4. The Structure of $C^\infty$-Superschemes
5. Modularity of Feynman Integrals and Factorization of Appell F2 Systems
6. Geometry of weak contact conics to irreducible quartics with 2 nodes and 1 cusp via rational elliptic surfaces and Zariski pairs
7. The Isomorphism Classes of the Surfaces $x_1^{a_1} + x_2^{a_2} + x_3^{a_3} + 1 = 0$
8. Relative $\mathbb{A}^1$-Contractibility of Smooth Schemes
9. Root bounds of vertical systems using tropical geometry
10. Homogeneous pre-foliations of co-degree one and degree four on the projective plane
11. Adjoint test modules along Cohen--Macaulay morphisms
12. Tensor product surfaces and graded syzygies
13. On Bands and Limit Theorems in Tropical Geometry
14. Finite order symplectic birational self-maps on Kummer-type manifolds
15. Analytical solutions for some quadratic ODEs found via linear rational eigenfunctions and the rational eigenfunction variety
16. Genus drop involving non-hyperelliptic curves in Feynman integrals
17. Asymptotics of small eigenvalues on degenerations of K\"ahler manifolds

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-08/

1. On Brauer groups of known Enriques manifolds
2. On the cohomological purity of the affine Springer fibers
3. The minimal volume of stable surfaces of rank one
4. Geography and Deformations of $\mathbb{Z}_2^s$-Covers of General Type Over Weighted Projective Threefolds
5. Thom-Sebastiani Theorem for Hodge Modules
6. The Ciliberto-Di Gennaro conjecture for $d=5$
7. A two-step approach to Chow quotients
8. On a generalized Poincar\'e series of plane valuations
9. An explicit formula for the Artin invariant of smooth K3 hypersurfaces
10. Rational homology disk degenerations of elliptic surfaces
11. A Structure Sheaf for Kirch Topology
12. Revised Demailly's Affineness Criterion and Algebraization of Entire Grauert Tubes
13. Bulk-deformations, Floer complex bordism, and Grothendieck-Riemann-Roch

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-07/

1. \'Etale Extensions of Unipotent Torsors
2. Tropical resolutions of configuration hypersurfaces
3. Smoothing low-dimensional cycles in algebraic cobordism
4. Local isomorphisms for families of projective non-unruled manifolds
5. Stability conditions and infinitesimal deformation of curves
6. On Waring rank jumps via critical rank-one approximations
7. The McKay correspondence and local heights for wild-by-tame split metacyclic groups
8. Geometry of multilinear varieties over infinite fields and its applications
9. A low-valence ribbon graph complex computing the cohomology of $M_{g,m}$
10. Nonlinearizable embeddings of elliptic curves in rational surfaces
11. On the biggest purely non-free conformal actions on compact Riemann surfaces and their asymptotic properties
12. Rigid homotopies for sampling from algebraic varieties: a Waring structure complexity model
13. $\mathbb{G}_m$-cohomology of $p$-adic Stein spaces
14. On Minimum CADs for Algebraic Sets in Dimension Three
15. Multiplicative $f$-ic forms on algebraic varieties arising from Thaine's generalized Jacobi sums

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-06/

1. Bures Geodesics and Restricted Barycenters for Kronecker Positive Definite Matrices
2. Support theorem of universal compactified Jacobians
3. Gaiotto Loci and the Nilpotent Cone for $\mathrm{Sp}_{2n}(\mathbb C)$
4. Theorems of Bertini and Chevalley
5. Formal moduli and the splitting theory of supermanifolds
6. Real approximation for homogeneous spaces with finite stabilizers
7. Spectral correspondence for cyclic Higgs bundles
8. Twisted cohomology on algebraic and analytic varieties
9. Lectures on Analytic Geometry
10. Birational Classification of Orbifold Compactified Jacobians
11. Equivariant intermediate Jacobians and intersections of two quadrics
12. Some Taylor varieties with null Hessian
13. A connection between minimal nilpotent orbits of types A and D via Hamiltonian reduction
14. Infinitesimal characters for the completed cohomology of $\mathrm{GL}_n$ over CM fields
15. Open-closed Deligne-Mumford field theories: construction
16. Characteristic-free approaches around Yu's construction
17. Lectures on Condensed Mathematics
18. Dimer models on astroidal zig-zag graphs

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-05/

1. Weierstrass semigroups and the order bound
2. Combinatorial Nonresonance Theorems for Hyperplane Arrangement Complements
3. Defect Triangles and Intersection-Space Hodge Atom Shadows for Calabi--Yau Conifolds
4. Equivariant sheaves on toric prevarieties
5. Veronese Avoiding Hypersurfaces
6. An algorithmic reduction to canonical forms for vector bundles on anisotropic conics
7. An Orlov theorem for matrix factorizations with multiple factors
8. Fixed point locus of Moduli spaces of Sheaves on Toric DM stacks
9. Homotopy coherent Gysin functoriality
10. Tropical Degenerations of Network Games:Valuation Classes and Equilibrium Coalescence
11. Flat Cohomological Purity for Syntomic Schemes over Valuation Rings
12. From Diaz's Enriques Product to an $n$-Fold Cup-Product Bockstein Family of Integral Hodge Counterexamples
13. Projective connections on super Heisenberg coinvariants. I
14. The Algebraic Boundary of Graph Elliptopes
15. Deligne-Lusztig varieties whose canonical divisors have negativity
16. Anabelian geometry for Deligne-Mumford curves
17. Twisting Higgs Modules and Functorial Aspects of the p-adic Simpson Correspondence
18. From Finite-Node Conifold Geometry to BPS Structures III: Mediated Triangle Transport and Graded Interaction Data
19. Birational invariance of higher Amitsur groups
20. $K$-holomorphic functions with definable real part
21. Generic Irreducibility of Bloch Varieties for Periodic Graph Operators
22. Toric Schubert Varieties in Partial Flag Varieties
23. Higher-Order Flexible Configurations of Planar Parallel Manipulators Constructed by Averaging
24. Random dynamics of plane polynomial automorphisms
25. Accessibility and Gorenstein injective envelopes
26. Generalized Kontsevich model, topological recursion, and $r$-spin theory

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-04/

1. Cylinders and the zero locus of the plinth ideal
2. Stable Wild Vafa-Witten Bundles on the Projective Plane
3. On logarithmic Poisson cohomology of a degenerate Poisson bivector in affine plane
4. The logarithmic leaf complex and foliated d-semistability
5. The GIT Boundary of Quintic Threefolds (Announcement of Results)
6. Torsion Trajectories from Local Discriminants to Global Obstructions
7. Valuative independence and metric SYZ conjecture
8. A new family of weighted double Hurwitz numbers and a new ELSV-type formula with $\Omega$-classes
9. Delta characters and crystalline cohomology of abelian schemes
10. Trace ideals of exterior powers of the module of differentials
11. The Hurwitz sum-of-squares problem depends on the base field
12. Curves on surfaces and moduli of associative algebras
13. A note on Zilber-Pink in $Y(1)^n$

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-01/

1. Characterization of non-special divisors of small degree on Kummer extensions and LCP codes
2. Hodge theory and K-stability of some very symmetric hypersurfaces
3. Triangulation of Points Constrained to a Plane
4. Perfectoid splitting and global $+$-regularity for smooth hypersurfaces
5. Constructibility aspects of the cone conjecture
6. Noncommutative Quillen-Lichtenbaum Conjecture
7. On the normalized local volume of a non-closed point
8. Torus Equivariant Cohomology for the $\Delta$-Springer Fiber
9. Structural properties of Bia{\l}ynicki-Birula decompositions
10. Towards Bigness equivalence
11. Valuative independence for Calabi--Yau varieties
12. Failure of the semi log canonical Abundance for compact K\"{a}hler threefolds
13. Mod p Monodromy of Cyclic Covers of the Projective Line
14. Holomorphic Jet Modules and Holomorphic Connections for Noncommutative Complex Curves
15. Vertex Posets, Monotone Path Polytopes, and Chow Polynomials
16. Monodromy action of mirror stops for toric Calabi-Yau surfaces
17. A torsion-intersection proof of perfect-cuboid nonexistence on 1,072 explicit master-tuple fibers

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-30/

1. Cut and paste invariants of moduli spaces of stable maps to toric surfaces
2. Some local and global properties of secant varieties of nonsingular projective curves
3. Generalizations and minimalistic refinements of the t-birational Section Conjecture
4. Components of strata of k-differentials and their orbit closures
5. Brill-Noether theory for totally ramified covers of the projective line
6. Stability and Fourier-Mukai transforms on an eliptic surface
7. A note on the moduli of stable sheaves on elliptic ruled surfaces
8. A criterion for parabolic vector bundles to admit a parabolic Lie algebroid connection
9. Locally rigid implies globally rigid in Kahler geometry
10. Approximating Periodic Orbits with Algebraic Curves and Related Minimal Problems
11. Multiplicative convolution and double shuffle relations
12. Compact K\"ahler contact manifolds
13. Rational curves on cubic hypersurfaces in positive characteristic
14. Galois lines for a canonical curve of genus 4, III: non-cyclic Galois lines
15. On Arithmetic Mirror Symmetry for smooth Fano fourfolds
16. Topology of complex plane curves: braid monodromy, local and global problems
17. Two-Valued Groups, Chazy Equation, Dubrovin-Frobenius Structures, and QYBE
18. Existence and maximal corank of simple $Z_p$-invariant germs
19. Deformation of pairs of $\mathbb{P}^3$ and hypersurfaces
20. Euclidean distance geometry and the orthogonal beltway problem
21. The Super Virasoro Minimal String from 3d Supergravity

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-29/

1. Unrestrictions and concise secant varieties
2. The $\mathbf{P}^1$-motivic Gysin map
3. The Quasisymmetric Grassmannian
4. The Mukai conjecture via Cox rings for special toric ambient embeddings
5. The 3-divisibility of divisors on K3 surfaces in characteristic 3
6. On the meagerness of the set of irregular bundles on Hopf surfaces
7. A local-global correspondence for perfectoid purity
8. Confocal families of plane algebraic curves
9. Excess logarithmic residues for foliations by curves and applications
10. Approximations and Hovey triples by objects of finite homological dimensions: Applications to sheaves
11. On the Jacobian algebras of Ziegler pairs of plane arrangements
12. GIT quotient of minimal dimensional Schubert variety modulo a subtorus
13. Semistable reductions and minimalities of invariants for group scheme actions on projective schemes
14. A result on the generic Picard number of surfaces in fake weighted projective 3-spaces
15. Gorenstein Simplices and Even Binary Self-Complementary Codes
16. Elementary anabelian varieties are anabelian
17. Faithful perversities
18. Essential tori associated with links of mixed singularities
19. Geometry of Logarithmic Topological Recursion: Dilaton Equations, Free Energies and Variational Formulas
20. The coordinate ring of the universal centralizer via Demazure operators

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-28/

1. Sobolev embedding theorem and subanalytic measures
2. Ulrich bundles with $c_2(\mathcal E)^2=0$ and connectedness of Ulrich subvarieties
3. Diffeomorphism types of simply connected $3$-dimensional Mori fibre spaces
4. Resonance of rank-two vector bundles over elliptic curves
5. Exceptional loci of F-blowups and $G$-Hilbert schemes
6. Invertibility of constructible sheaves under convolution
7. The Birational Invariance of Fundamental Group Schemes
8. Birational boundedness of stable families
9. Dimension of the motivic Galois group of a 1-motive
10. A Bornological Perspective on the Representability of Derived Moduli Stacks of Solutions to PDEs
11. On the degree of the singular subscheme of hypersurfaces in ${\mathbb P}^n$
12. Second gonality of smooth aCM curves on quartic surfaces in $\mathbb{P}^3$
13. On Maximal Symmetries of Toric Varieties over Fields of Characteristic Zero
14. Nakai conjectures for isolated homogeneous hypersurface singularities
15. Denef-Loeser zeta functions of suspensions and L\^e-Yomdin singularities
16. Hyper-Operations and Extension of Scalars from $\mathbb{F}_1$ to $\mathbb{Z}$
17. Principal Matroid Determinants
18. Formalizing $A_1^{(1)}$ Curve Neighborhoods in Lean 4
19. Hybrid Conjecture in a Mixed Shimura variety
20. The Absolute Anabelian Geometry of Virtual Curves of Arbitrary Genus
21. Enhanced CAD-Based Quantifier Elimination With Multiple Equational Constraints
22. On D-cap-Modules of Finite Length on Rigid Analytic Spaces
23. The Flat CR Twistor Model $Q^{2,2}$ and Its Algebraic Sections

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-27/

1. Integral Perverse Obstructions for Normal Surface Singularities: Resolution Determinants and Monodromy
2. Algebraic methods in periodic singular Liouville equations
3. Notes on the deformed Hermitian-Yang-Mills equations and the large scaling limits of stability conditions
4. On the Harder-Narasimhan filtration of the direct image of the structure sheaf
5. Segre invariants of principal bundles over a curve
6. Matrix tuples with linearly dependent invariant subspaces
7. Twisted traces and quantization of moduli stacks of 3d $\mathcal{N}=4$ Chern-Simons-matter theories
8. Affine Supertrusses and Superbraces
9. Degeneration order of $3\times 3$ nilpotent matrix tuples
10. Decent actions of groups on restricted products
11. B-complex manifolds with generalized corners. I. Newlander-Nirenberg Theorems
12. Non-linear geometry of multiple zeta values

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-24/

1. $E_6$-local systems from cubic threefolds
2. Two New Extensions of Reider's Theorem on Algebraic Surfaces
3. Birational Geometry of Quot Schemes on smooth projective curves via Stable Pairs
4. Ribbon graphs and meromorphic functions
5. A chain of $\mathbb{C}^{*}$-flips of the moduli spaces of $\mathcal{O}$-twisted rank 2 constrained framed Hitchin pairs on a smooth curve
6. A gap principle for polynomial volume growth of zero-entropy automorphisms
7. Triangulations and Maximal Cross-Ratio Degrees
8. Normal Functions, Even Theta Characteristics and the Theta Divisor
9. A theory of generalized Lam\'e curves
10. Hodge theory for combinatorial projective bundles
11. Embedded special Legendrian surfaces in $\mathbb S^5$
12. Residues of a tropical zeta function for convex domains
13. Three-periodic helices on elliptic curves and their associated regular algebras

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-23/

1. Border subrank of higher order tensors and algebras
2. $F$-finite schemes have a dualizing complex
3. Non-Abelian p-Curvature and a Non-Abelian Katz's Formula
4. From Finite-Node Conifold Geometry to BPS Structures II: Functorial Incidence and Quiver Assembly
5. Maximally nodal sextic surfaces and linear determinantal representations
6. Representability of codimension three cycles
7. Higher rank Gelfand-Kapranov-Zelevinsky fans
8. Asymptotically Z-stable bundles over projective surfaces
9. Birational geometry of actions on del Pezzo surfaces
10. G-birationally rigid cubic threefolds
11. On G-birational rigidity of projective spaces
12. A Matsushima theorem for K-polystable polarised smooth Fano threefolds
13. Interacting Multi-Node Conifold Light Sectors
14. Tonnetz Theory, Classical Harmony, and the Combinatorial Geometry of Abstract Musical Resources
15. Minimal $a$-numbers of Artin--Schreier covers of ordinary curves
16. Epimorphisms of local cohomology modules, a general Peskine-Szpiro theorem, and an application to sheaf cohomology vanishing for thickenings
17. p-adic elliptic polylogarithms and cubic Chabauty
18. Wall-crossing of Instantons on the Blow-up
19. On the regularity index of the minimum distance function in projective nested Cartesian codes

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-22/

1. The unirationality of $S_9^-$ and moduli spaces of pointed spin curves
2. On the Hurwitz existence problem for branched covers of the projective line
3. Distributivity, affineness, and the structure sheaf
4. Generalized algebraic Morse inequalities and Hasse-Schmidt jet differentials
5. From Finite-Node Conifold Geometry to BPS Structures I: Algebraic State Data
6. Algebraic Distance Optimization in Polyhedral Norms
7. The Lefschetz type theorem for fundamental group schemes
8. The integral Chow ring of $\mathcal{M}_{0}(\mathbb{P}^r, 2)
9. The reciprocal complement of a surface
10. The non-perturbative topological string: from resurgence to wall-crossing of DT invariants

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-21/

1. Weighted blowups and 3d Poisson desingularizations
2. Implementing p-adic numbers in Macaulay2 using its foreign function interface and FLINT
3. The conformal limit for Nakajima quiver varieties
4. On a relation of a conjecture of Goncharov to the co-Lie algebra of Bloch-Kriz mixed Tate motives
5. A Deligne-Malgrange Riemann-Hilbert correspondence for closed 1-forms
6. The Algebraic Degree of Network Games via Tropical Geometry: A Geometric Perspective on Datta's Formula
7. Hodge Atoms at Conifold Degenerations: F-Bundles, Limiting Mixed Hodge Modules, and the Rigid-Flexible Decomposition
8. The Quotient of Milnor Number by Tjurina Number of Hypersurface Singularities in Arbitrary Characteristic
9. Automorphism groups of hyperelliptic curves of $2$-rank zero
10. On the classification of toric $2$-Fano manifolds: generic $\mathbb{P}^2$-bundles
11. Superspecial generalized Howe curves of genus 4, 5, and 6 with completely decomposable Jacobians
12. On quantum functionals for higher-order tensors
13. On Coble surfaces and their automorphisms
14. On Nests and Large Components of Random Real Algebraic Curves
15. Universal compactified Jacobians: cohomological invariance and boundary combinatorics
16. Unirational algebraic groups and tame ramification
17. On the quasi-monomiality of the $\alpha$-and $\delta$-invariants
18. Pulling back Cartier structures along regular maps
19. Hochschild cohomology and lifts of endomorphisms
20. Maximal quadrics over finite fields and minimal codewords of projective Reed-Muller codes
21. Non-liftability of Families of Abelian Varieties with Small $l$-adic Local System
22. A criterion for log regularity via log Frobenius-Witt differentials
23. The Witt ring of the real sphere
24. Varieties of minimal degree in weighted projective space
25. Explicit Kodaira-Spencer maps over PEL Shimura varieties
26. Semistable Reduction Theorem for Overconvergent $F$-isocrystals over Laurent Series Fields
27. Homological Aspects of Separable Extensions of Triangulated Categories

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-20/

1. Degenerations in tropical compactifications and tropical intersection theory of $\overline{M}_{0,n}$
2. Algebraic Geometry over Non-Algebraically Closed Fields -- A-Coherent Sheaves over a Ringed Space
3. Algebraic Invariants of Lightning Self-Attention
4. Cycle Relations and Global Gluing in Multi-Node Conifold Degenerations
5. Height 1 Group Schemes and Prismatic F-Gauges
6. Log-Conformal Projective Manifolds
7. All Quiet on the Exceptional Locus
8. Valuatively independent bases for the Fermat family of cubic curves
9. Belyi map verification using certified path tracking
10. Tensorial Constraints for Commuting Endomorphisms of the Generalized Tangent Bundle
11. Matsuki duality for loop groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-17/

1. Minimal resolutions of toric substacks by line bundles
2. Failure of Weak Approximation in Adjoint Groups
3. Oriented Cohomology Rings of Some Moduli Spaces via Blowups
4. Bernstein--Sato Theory for D-modules in Positive Characteristic
5. A remark on isolated complex hypersurface singularities
6. The mixed Hodge structure on the fundamental groups of the Collino surfaces
7. Local vanishing for F-pure threefolds
8. The Very General Verra Fourfold is Irrational
9. Degenerations of generalized Kummer varieties
10. Some lower bounds for the maximal number of A-singularities in algebraic surfaces. II
11. Tangent bundle of punctual Hilbert scheme and distinguishing products of varieties
12. Algebraic Toric Quasifolds
13. Rational analytic syntomic cohomology
14. Counting Theorems for Algebraic Relations

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-16/

1. Mumford vanishing for threefolds in positive characteristic
2. Deformations of fibered Calabi--Yau varieties
3. A lower bound on the Calabi functional for a degeneration of polarized varieties
4. Relative Langlands duality and Koszul duality
5. Lagrangian correspondences for moduli spaces of Higgs bundles and holomorphic connections
6. New examples of affine Calabi-Yau 3-folds with maximal volume growth
7. Reduced Gromov-Witten invariants without ghost bubble censorship
8. Growth in noncommutative algebras and entropy in derived categories
9. A Complete Symmetry Classification of Shallow ReLU Networks

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-15/

1. Cycles in the universal moduli stack of bundles of rank two over genus two curves
2. Affine Springer fiber and the small quantum group
3. Semiorthogonal decompositions and components of derived categories of orthogonal Grassmannian fibrations
4. KSBA moduli spaces of cubic surfaces with a marked line
5. Higher F-rational singularities
6. Categorical Torelli theorems for higher Picard rank Fano double covers
7. Cyclic AG-Codes on the Hermitian Curve
8. Supersingular elliptic surfaces and Infinitesimal Torelli
9. Exotic Hopf maps, weight shifting and applications to vector bundles
10. Key variety construction of Sarkisov links for prime $\mathbb{Q}$-Fano threefolds of codimension four associated to Type ${\rm II}_{2}$ projections
11. L-manifolds
12. Symmetric subrank and its border analogue
13. On the large genus of Hurwitz numbers
14. Logarithmic Hochschild (co)homology of logarithmic orbifolds
15. Special regular polynomial skew products
16. The K-moment problem: A detailed introduction
17. The $p$-adic monodromy theorem over algebraic-affinoid algebras
18. Strong formality below middle degree implies strong formality
19. On Higher-Order Geometric Refinements of Classical Covariance Asymptotics: An Approach via Intrinsic and Extrinsic Information Geometry

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-14/

1. Some faithful algebraic braid twist group actions for 3-fold crepant resolutions
2. Rationality of cohomological descendent series for Quot schemes on surfaces with $p_g=0$
3. Descendant and Fourier-Mukai equivalences for simple flops
4. Notes on the decomposition theorem for blowups
5. Riemannian Geometry on Associative Varieties
6. Asymptotic Behavior of Tropical Rank Functions
7. NCCRs of cones over del Pezzo surfaces
8. Geometry of the Donaldson--Friedman Pushout
9. Curves on the product of two $K-$trivial surfaces
10. Singularities of diagonals of Laurent series for rational functions
11. A note on double Danielewski surfaces
12. Two Lemmas on the Fiber-wise Holomorphicity in Complex Algebraic Geometry
13. Branched covers of $\mathbb{P}^1$ and divisibility in class group
14. GlobalCY I: A JAX Framework for Globally Defined and Symmetry-Aware Neural K\"ahler Potentials
15. An analogue of irreducible cuspidal representations for the group $PGL(2)$ over a two-dimensional local field

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-13/

1. Neutral representations in dimension $\leq 3$ and fields of moduli
2. Prime Fano threefolds of genus 8 in positive characteristic
3. Moduli of toric principal bundles
4. Recent progress on the Minimal Model Program for foliations
5. Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals
6. Surfaces with canonical map of odd degree
7. Fast Isotopy Computation for T-Curves
8. Positivity of tangent bundle of weak Del Pezzo surfaces of degree $4$
9. Billey-Type Formula for KL-Schubert Classes in Hyperbolic Cohomology
10. Differential operators on locally analytic Shimura varieties
11. Modular curves and bad reduction

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-10/

1. A one-step counterexample to the normalized Nash blowup conjecture
2. The parity of theta characteristics is preserved by infinitesimal deformations
3. Quasi-Compactness in Infinite Dimension
4. Elementary links from prime Fano threefolds along two lines
5. Rank one foliations on toroidal varieties
6. On a descent conjecture of Wittenberg
7. Derived jet and arc spaces
8. Formulae for indices of holomorphic foliations via reduction of singularities
9. Resurgence of high-energy string amplitudes

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-09/

1. Factorizations of Moduli Morphisms and Universal Maps to Deligne-Mumford Stacks
2. Finite-Node Perverse Schobers and Corrected Extensions for Conifold Degenerations
3. Cohomological aspects of power ideals
4. Differential graded categories in holomorphic symplectic geometry
5. A symplectic fourfold
6. A note on complex Lie Algebras isomorphic to their conjugate
7. The Deligne-Simpson problem via 2-Calabi-Yau categories
8. On computing the spherical roots for a class of spherical subgroups
9. A note on Bondal's conjecture
10. A note on b-divisors and filtrations on a local ring
11. Stable degeneration and birational geometry
12. Reconstruction of F-cohomological field theories on moduli of compact type
13. On canonicity for integral models of Shimura varieties with hyperspecial level
14. Polylab: A MATLAB Toolbox for Multivariate Polynomial Modeling
15. Boundary Cohomology of Sp6(Z): Trivial Representation
16. Random conic bundle surfaces satisfy the Hasse principle
17. Chevalley groups, commutative rings, class-preserving endomorphisms, locally inner endomorphisms, Sha-rigidity

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-08/

1. Coherent sheaves in logarithmic geometry
2. Frobenius nonclassicality of generalized Fermat curves with respect to conics
3. On a Conjecture I for unirational algebraic groups over an imperfect field
4. Notes on acceptable bundles II
5. Geometric singularities of regular surfaces with nef anti-canonical divisors over imperfect fields
6. Mixed Hodge Modules and Canonical Perverse Extensions for Multi-Node Conifold Degenerations
7. Structure of the Anticanonical Minimal Model Program for Potentially klt Pairs
8. Direct image and pullback of Parabolic vector bundles
9. A Pardon Algebra for Zero-cycles
10. Minimal-Degree Foliations on Cominuscule Grassmannians
11. Stable maps, multiplicities, and compactified Jacobians
12. The Pandharipande-Thomas rationality conjecture for superpositive curve classes on projective complex 3-manifolds
13. Stability of syzygy bundles of Ulrich bundles
14. Hodge-to-de Rham degeneration and quasihomogeneous singularities of curves
15. The Cone Conjecture for Enriques Surfaces in any Characteristic
16. Existence of holomorphic Lie algebroid connections in higher dimensions
17. Rationality and symmetry of stable pairs generating series of Fano 3-folds
18. Relativistic Toda lattice of type B and quantum $K$-theory of type C flag variety
19. \'Etale cohomology of Stein algebras
20. Analytically generated sharply o-minimal structures

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-07/

1. On nice $\mathbb{G}_m$-actions arising from locally nilpotent derivations with slice
2. Rank jumps for Jacobians of Hyperelliptic curves on K3 surfaces
3. A categorical and algebro-geometric theory of localization
4. An approach to the abundance conjecture for K\"ahler varieties via algebraic reduction
5. Transmission permutations and Demazure products in Hurwitz--Brill--Noether theory
6. Close connectedness of the moduli stack of reduced curves
7. Shifted symplectic rigidification
8. Ogus-Vologodsky equivalence via stacks
9. On the Tame Isotropy Group of Locally Finite Derivations of K[X,Y]
10. Perverse Extensions and Limiting Mixed Hodge Structures for Conifold Degenerations
11. Stokes structure of wild difference modules
12. Resolutions and deformations of cyclic quotient surface singularities
13. Gap theorems and achirality for automorphisms of K3 surfaces and Enriques surfaces
14. Tschirnhausen bundles of sextic covers of $\mathbb{P}^1$
15. Isotropy subgroups of homogeneous locally nilpotent derivations
16. Explainable PQC: A Layered Interpretive Framework for Post-Quantum Cryptographic Security Assumptions
17. Arithmetic volume of Shtukas and Langlands duality
18. Cancellation-free version of the quantum $K$-theoretic divisor axiom for the flag manifold in the quasi-minuscule case
19. Matroid analogues of Gal's conjecture
20. An infinite series of Gorenstein local algebras failing the affine homogeneity property
21. Unlikely intersections in families of polynomial skew products

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-06/

1. Higher Chow cycles, cyclic cubic fourfolds and Lagrangian subvarieties
2. Algebraization of absolute perfectoidization via section rings
3. The rationality problem for multinorm one tori, II
4. Locally finite solvable Lie algebras of derivations
5. Automorphisms of the boundary complex of $\overline{\mathcal{M}}_{0, n}(\mathbb{P}^r, d)$
6. A semicontinuous relaxation of Saito's criterion and freeness as angular minimization
7. New $\mu$-Zariski pairs of surface singularities
8. On de Rham--Witt Cohomology of Classifying Stacks
9. Hilbert scheme of points on non-reduced nodal curves
10. A motivic Poisson formula for split algebraic tori with an application to motivic height zeta functions
11. Lipschitz saturation of toric singularities in any dimension
12. The Hitchin morphism for K-trivial varieties
13. Piecewise linear functions and neural network expressivity via discriminantal arrangements
14. Points of low degree on curves over function fields
15. Worldsheet Duals to One-Matrix Models
16. p-adic Hodge theory of de Rham local systems, I: Newton polygon and monodromy

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-03/

1. Non-reduced components of global nilpotent cones
2. On the classification of products of Hilbert schemes of points over a surface
3. Galois group of exceptional curves on the generic del Pezzo surface
4. Tropical covers, tropical abelian varieties and Prym varieties
5. On Relative Ulrich Bundle and Generalized Clifford Algebra
6. The Integral Chow Ring of Smooth Non-strict Toric Stacks
7. Genus three Ceresa cycles and limit of archimedean heights
8. The integral (log) cotangent complex of extensions of valued fields
9. On the inverse Galois problem for del Pezzo surfaces of degree 1
10. Secant rank and syzygies of projections of elliptic normal curves
11. Intersections and the B\'ezout Range: Abelian Varieties
12. Pl\"ucker degrees of Quot schemes
13. The relativistic $p$-adic sunscreen conjecture
14. Non-vanishing for quartic Hecke $L$-functions and ranks of elliptic curves

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-02/

1. Heisenberg vertex algebras and abelian varieties
2. Conformal blocks in algebraic geometry
3. Local multiplicities for an equivariantly enriched non-transverse B\'ezout's theorem
4. The semiregularity theorem for equivariant noncommutative varieties
5. Tropical matroid Schubert varieties and the graded M\"obius algebra
6. Truncated Grassmannians, blow-ups along Schubert varieties and collineations
7. Perverse Schober Structures for Conifold Degenerations
8. BPS Lie algebras, perverse filtrations and shuffle algebras
9. Grothendieck's Equality vs Voevodsky's Equality
10. Affine Normal Directions via Log-Determinant Geometry: Scalable Computation under Sparse Polynomial Structure
11. Solutions of Calabi-Yau Differential Operators as Truncated p-adic Series and Efficient Computation of Zeta Functions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-04-01/

1. Deformations of locally constant stability conditions and good moduli spaces
2. Hodge Structures in Sextic Fourfolds Equipped with an Involution
3. Unexpected toric Richardson varieties
4. Autoequivalences of Derived Categories of Bielliptic Surfaces
5. On intersections of fields of rational functions
6. The boundary of K-moduli of prime Fano threefolds of genus twelve
7. The local geometry of the stack of $A_r$-stable curves
8. Finiteness of Hadamard ranks
9. Nodal degeneration of chiral algebras
10. On non-Archimedean and motivic distributions defined by kernels
11. On the combinatorics of the refined 1-leg DT/PT correspondence
12. Computing Topological Transition Sets for Line-Line-Circle Trisectors in $R^3$
13. The Geometry of Polynomial Group Convolutional Neural Networks

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-31/

1. Applications of (higher) categorical trace II: Deligne-Lusztig theory
2. Deligne's weight spectral sequence and tautological cohomology of the moduli space of curves
3. On the $\mathrm{PGL}_2$-equivariant intersection theory of $\mathrm{Gr}(2,4)$
4. Structure of the Components of the Fixed Locus of a Self-Map of the Berkovich Line
5. k-Wahl chains and cyclic quotient singularities
6. Multiplicity of codimension 1 fibers in Lagrangian fibrations
7. Galois subspaces for compact Riemann surfaces of genus 2
8. Towards a characterization of toric hyperk\"{a}hler varieties among symplectic singularities II
9. On Chasles' Quadrilateral Theorem
10. Numerical inequalities for quasi-projective surfaces
11. Motivic counting of curves on split quintic del Pezzo surfaces
12. Contraherent cosheaves of contramodules on Noetherian formal schemes
13. Log-concavity from enumerative geometry of planar curve singularities
14. A Criterion for Phantomness of dg-categories
15. Irreducible Characteristic Cycles for Orbit Closures of a Symmetric Subgroup
16. Transfer and Norm for Finite Group Schemes
17. Two comparison theorems for semiring schemes
18. On the Codimension-1 $\mathrm{PGL}_4$ Orbit Closures in $\mathrm{Gr}(2,10)$
19. Weakly special varieties, Campana stacks, and Remarks on Orbifold Mordell
20. Tempered vs generic automorphic functions and the canonical filtration on automorphic functions
21. Hyperbolic Cluster States for Fault-Tolerant Measurement-Based Quantum Computing
22. Cayley--Hamilton tuples: an interplay between algebraic varieties and joint spectra
23. The Davenport-Lewis-Schinzel problem on the reducibility of $f(X)-g(Y)$
24. Higher algebra in $t$-structured tensor triangulated $\infty$-categories

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-30/

1. Conics Quadrics Mapping & Cones
2. Geometric classification of primes modulo a (bend) congruence
3. Tropical singular intersection homology
4. On Effective Iitaka Fibration Indices for Stable Minimal Models with Large Iitaka Volumes
5. Smooth plane curves with a unique outer Galois point and their automorphism groups
6. Lattice homology of integrally closed submodules and Artin algebras
7. Coble surfaces: projective models and automorphisms with related topics
8. Motivic local density of isolated surface singularities
9. Automorphism groups of Mori Del Pezzo fibrations over an irrational curve
10. The motivic tt-geometry of real quadrics
11. Toolkit for the algebraic geometer
12. A categorical Torelli theorem for quartic del Pezzo surfaces
13. Exactness property of Breuil-Kisin functors and Bloch-Kato Selmer groups
14. Local-global principles for the existence of Levi factors

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-27/

1. Bounds on the Mordell-Weil rank of elliptic fibrations
2. Perfectoid pure thresholds of lifts of rational double points
3. Singularities of Foliations and Good Moduli Spaces of Algebraic Stacks
4. Common Real Secants to Pairs of Real Twisted Cubic Curves
5. The crisp topology, a refinement of the fpqc topology
6. Landau Analysis in the Grassmannian
7. Hodge rigidity of Chern classes
8. Exceptional loci in algebraic surfaces
9. A birational version of K-stability for big classes
10. Isometric Embeddings and Hyperk\"{a}hler Geometry of the Cotangent Bundle of Complex Projective Space via the Scheme of Rank-1 Projections
11. An interview with Bernard Teissier
12. Canonical sheaves at isolated canonical Gorenstein singularities
13. Igusa Stacks and the Cohomology of Shimura Varieties II
14. KdV integrability in GUE correlators
15. Quasi-factorially closed subalgebras of Laurent polynomial rings
16. Complex cells in sharply o-minimal structures
17. Introducing pixelation with applications
18. Geometric Points in Tensor Triangular Geometry

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-26/

1. Logarithmic purity and logarithmic Nori fundamental group
2. Independence of tautological classes and cohomological stability for strata of differentials
3. Stein degree of proper morphisms
4. Conic modules, secondary fans and non-commutative resolutions
5. On the dynamical degree of surjective endomorphisms
6. Gromov-Witten invariants and membrane indices of fivefolds via the topological vertex
7. Automorphism groups of real rational quartic del Pezzo surfaces
8. Weighted Cohomology, Hodge Theory and Intersection Cohomology of Shimura varieties
9. Stable homology of strata of abelian differentials
10. Computing the Skyscraper Invariant
11. Notes on Cyclotomic Function Fields with Quadratic Modulus
12. Additive Rigidity for Images of Rational Points on Abelian Varieties

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-25/

1. The relative movable cone conjecture for K-trivial fibrations in varieties with well-clipped movable cones
2. A note on Virasoro constriants for products
3. Shifting local exponents of Picard-Fuchs operators
4. Picard rank jumps for families of K3 surfaces in positive characteristic
5. The Weil Decoration of the Horrocks-Mumford Bundle
6. Hyper-K\"ahler varieties: Lagrangian fibrations, atomic sheaves, and categories
7. Linear spaces in Hessian loci of cubic hypersurfaces
8. Cohomological descent for obstructions to local-global principle
9. Exponential motives on the affine Grassmannian
10. Smoothness results for the schemes of special divisors on general k-gonal curves
11. Non-abelian Hodge theory for non-proper varieties and the linear Shafarevich conjecture
12. Anticyclotomic Iwasawa main conjectures for modular forms
13. Orlov's functors in Macaulay2
14. The Large Affine Hecke Category is Calabi-Yau
15. Uniform boundedness of small points on abelian varieties over function fields

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-24/