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

1. Generating Sets for the Kernels of Frobenius Polarization Operators
2. Lusztig Parameters and Factorizations of Determinantial Modules
3. Higher mod $p$ Satake transforms: explicit formulas and images for $\mathrm{GL}_2$
4. Global obstruction property and its applications
5. Hook algebras and determinantal varieties
6. Equivariant Steklov homogenisation and stability of spectral representations
7. Haar measure for totally positive split real semisimple quantum groups of classical type
8. Harmonic analysis and circuit approximation of Sobolev functions on quantum input spaces
9. Actions of Fell bundles, II: tensor products and Fourier-Stieltjes algebras
10. A 9-dimensional nilpotent Lie algebra isomorphic to its complex conjugate admitting no real form
11. On the saturability of $p$-adic Lie groups

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

1. Quantum super Schur--Weyl duality and character formulas for mirabolic Hecke algebras
2. Reciprocity for projective and injective direct summands
3. Categorified Cluster Structures on Coulomb Branches of Certain Star-Shaped Quivers
4. Sharp commutator bounds on complex simple Lie algebras: the B\"ottcher--Wenzel inequality and the comass of the Cartan $3$-form
5. Twisted Jacquet modules and induction from Speh representations
6. Infinite girth and profinite properties of residually finite groups
7. A Counterexample to Left-Right Symmetry for Diagonal Auslander-Regularity
8. Injectivity of specialization maps in critical cohomology
9. Equivariant noncommutative crepant resolutions and $G$-maximal modifying modules
10. Facets of nondegeneracy: central type factor groups, Heisenberg representations and Hadamard matrices
11. Slightly improved zero-free half-planes for the quasi-Riemann hypothesis
12. Local Constancy of the Betti Automorphic Category over the Moduli of Curves

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

1. Log-concavity and unimodality of cluster monomials in fan coordinates of type $A_n$
2. Derived Picard reconstruction for graded surfaces with stops
3. On the Structure of Higher Zhu Induced Modules in Positive Characteristic
4. Ramified Quivers with Potentials, Monodromy Characters, and Cluster Bases I
5. Abelian composition factors of finite rational groups
6. CR Orbits on the complex flag manifolds of $G_2$

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

1. On fusion product and N!/k-conjecture
2. Block decompositions in the p-adic Langlands correspondence
3. Stability of plethysm coefficients and modified polynomial induction
4. Webs and finite dimensional Representation theory for quantum symmetric pairs
5. Truncation of dg categories and connective resolutions
6. Iwahori Gaiotto conjecture for cotangent type
7. Quiver Demazure algebras I: Residue descent, finite quotients, and PBW bases
8. Root-power quotients of nil-Hecke algebras and Weyl invariant theory
9. The solvable degree of a Schur algebra
10. Araki Cohomology of the de Sitter Scalar Discrete Series
11. Posh Parking Spaces
12. On the number of cokernel-closed additive subcategories for uniformly oriented $A_n$ quivers
13. A new $SL_2$-action on the rank-two $\beta\gamma$-system
14. Extensions of Restricted Simple Modules for Restricted Lie Algebras of Cartan Type
15. Segre determinants and MHV gravity amplitudes
16. Character expansions and affine Jacobi-Trudi identities
17. Local newforms, Pa\v{s}k\={u}nas-Stevens Whittaker functions, and explicit test vectors for $\mathrm{GL}(n)\times \mathrm{GL}(n)$

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

1. The Benson--Etingof--Ostrik conjecture for finite tensor categories
2. Chromatic characters and root multiplicities for Borcherds--Kac--Moody algebras
3. On the $K$-types of certain families of unitary highest weight representations of Hermitian Lie groups
4. Combinatorics of Mirkovi\'c-Vilonen cycles in twisted affine Grassmannians
5. simple cartan-free modules of finite rank over the super-virasoro algebras
6. Characters of $F_4(\mathbb{C})$ at involutions
7. A quiver presentation of the type D arc algebras and intrinsic formality of $\mathbb{D}_4$
8. Calculating double-leaf coefficients in the Hecke category
9. Tempered Symplectic Distinction For Quaternionic $GL_n(D)$: A Conjecture of PRASAD
10. Tao-Travkin equivalence revisited
11. Classification of reductive monoids
12. Irreducibility of Verma modules for symmetrizable Kac-Moody superalgebras
13. A Morris recursion rule for values of the spin characters of wreath products
14. The Brou\'e invariant of a Morita equivalence with an endopermutation source
15. Finite-dimensional Lie subalgebras of the universal enveloping algebra of $\mathfrak{sl}(2,\mathbb{C})$
16. Moments and Large Geometric Monodromy for Linearly Constrained Kloosterman Families
17. Restrictions of the dot action representation
18. The commuting scheme of $\mathfrak{g}_2$
19. Automorphic commutator relations in relative geometric Langlands
20. Braid group invariance of quantum tori and applications

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

1. Parabolic induction for Takiff algebras and character formulas in Chari's category $\widetilde{\mathcal{O}}$
2. Maximal graded subalgebras of simple vectorial Lie superalgebras with polynomial coefficients
3. Maximal subalgebras in the three exceptional simple finite-dimensional Lie superalgebras
4. Uniform Computability of Isotypic Block Diagonalization for Finite-Group Representations
5. Equivariant Poincar\'e polynomial of type B Wonderful Models
6. Ample stability implies rigidity for quiver moduli
7. Robustness of quantum spectrum estimation: weak Schur sampling under noisy inputs
8. Lie Algebraic Uncertainty Relations

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

1. Self-Orthogonal $\tau$-Tilting Modules and Tilting Modules III: Finitistic Dimension
2. A characterization of triangulated structures induced by premutation triples
3. Explicit Transgression Primitives on Flag Manifolds
4. Magnitude of module categories and special biserial algebras
5. Big Finitistic Dimensions of Radical-Cube-Zero Algebras
6. Endomorphism algebras of Gorenstein-projective modules over string algebras
7. Homology and higher-order intermediate categories for proper abelian subcategories
8. Central algebraic cohomology of Galois gerbes
9. Harmonic Norms on Quiver Representations over Non-Archimedean Fields
10. Rotation fixed points of undecorated braid varieties and fusion rings of affine Lie algebras
11. Quantum gates from the middle convolution of twisted Burau representations
12. Seven Coincidences and Sixty Symmetries
13. Translation invariant quadratic forms in $8$ variables and dense sets of primes
14. The crystal groupoid of a compact semisimple Lie group and its flag varieties
15. Ordinary modules for affine vertex operator superalgebras
16. Ideals of homomorphic images of the enveloping algebra of the Witt algebra
17. Quasi-modularity of $q$-traces and integrals over Hilbert schemes

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

1. Symmetric spaces and skew multiplicity free representations
2. Normalization graphs and Dold-Kan equivalences for generalized Reedy categories
3. Higher Cotorsion Pairs on Image-Nilpotent \(\eta\)-Extensions
4. Relative Derived Delooping Levels and $\tau$-Tilting Modules
5. Singularities of orbit closures in loop spaces of symmetric varieties II: twisted cases
6. Unequal-parameter Kostka--Foulkes polynomials of type $C_n$ at fundamental weights
7. Duality functors for Coulomb branches I
8. Tilting mutation of gentle algebras and its combinatorial description
9. On Irreducibility and Multiplicity One Property for Non-Archimedean Type-II Theta Lifting
10. Unipotent representations and the categorical trace of Frobenius
11. Tensor Product Does Not Behave Additively on Delooping Level
12. Lower affine MV polytopes of rank 2
13. Para families of orthogonal polynomials
14. Grassmannian tree webs and cluster variables
15. Orthogonal Model Structures
16. Quivers variety for affine orthogonal quiver
17. A mixing time method for estimating the sample complexity of quantum state discrimination
18. Exact sequences of representation categories of weak Hopf algebras

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

1. Counterexamples and gap phenomena for derived delooping levels
2. Relative Suspension and Higher Delooping for Support $\tau$-Tilting Modules
3. Complexes of modules over hierarchical groups
4. Dirac operators for Cartan motion groups
5. Absolutely irreducible modules via James triples
6. A Galois-equivariant Dade-Glauberman-Nagao correspondence with central defect
7. Asymptotics for number of indecomposable components of tensor powers of the natural $\mathrm{SL}_2$-module in odd characteristic
8. Diagrammatic bases from stratified normalization
9. A Note on Universal Positivity of Rank-Two Quantum Greedy Elements
10. Characteristic-free Kn\"orrer periodicity
11. Absolute moved spaces and noncrossing partition posets in arbitrary Coxeter groups
12. Euclidean modules, submodules of their direct sums and strong reduced echelon form

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

1. Gorenstein cotorsion pairs induced by balanced pairs
2. Torsion proliferation
3. Classification of \(U(\mathfrak h)\)-Free Modules over the Heisenberg-Virasoro type Lie superalgebra via Polynomial Shift Operators
4. Rootwise estimates for Weyl alternants
5. Symmetric Branching via Laurent Phenomenon Algebras
6. On the number of $\ell$-regular conjugacy classes
7. Finiteness properties of profinite blocks and blocks with defect group $\mathbb Z_p^n$
8. Derived Delooping Levels of One-Point Extensions and Finitistic Dimensions
9. Well-tempered symmetric spaces
10. Nonunimodal principal spectra of Frobenius parabolic Lie algebras
11. Block Relations and Clifford Theory for H-Triples
12. Explicit $H_3$ relation in the diagrammatic Hecke category
13. Quasi-cellular categories and the structure of the Brauer category
14. On Representations of $\mathrm{GL}_n(\mathrm{D})$ admitting a generalized linear period
15. Bounded functor cohomology and comparison theorem
16. The fields generated by character values of linear and unitary groups
17. A proof of Frenkel's bound for the hyperbolic Kac-Moody Lie Algebra A_1^++
18. Keller's conjecture for split finite-dimensional algebras
19. Jordan induction for $\mathrm{GL}_n(\mathcal{O})$
20. Automorphic $C^*$-algebras of reductive groups
21. Relative Global Dimension of Controllable Extensions
22. Grothendieck rings of pivotal fusion categories of rank four
23. Classical freeness of affine vertex algebras of $\mathfrak{sl}_2$ at boundary admissible levels
24. A Reduction Theorem for the Alperin-McKay-Navarro Conjecture
25. Modulation spaces: from Feichtinger's original definition to modern Gabor and symplectic characterizations
26. Exceptional poles of archimedean Asai $L$-functions
27. Higher orthogonality and truncation in canonical pretriangulated quotients
28. Structure of derived Hecke algebras with coefficients in torsion-free profinite rings
29. Equivariant multiplicities and torsion at attractive fixed points

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

1. Generating Functions for Casimir Invariants of Simple Lie Algebras
2. Quasi-equivalence of relabeled positroid cluster structures
3. A Proof of the Second brick-Brauer-Thrall Conjecture for $E$-infinite algebras
4. Demazure Models of Algebraic Tori in Dimension 4
5. Special Cohen--Macaulay sheaves on partial resolutions of rational surfaces singularities
6. A derived Chouinard's theorem for infinite groups

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

1. The Tambara-Yamagami calculus and finite semigroups
2. Quiver Bases of Cartan Squares of Minuscule Representations
3. A Cotangent Model for the Next-to-Minimal Orbit of E7
4. Ringel self-duality of hereditary algebras via Auslander-Reiten theory
5. Specht ideals for the imprimitive complex reflection group $G(r,1,n)$: geometric orbit types and a dominance theorem
6. On vanishing and Hausdorffness of asymptotic cohomology
7. The crystal of the categorified quantum group

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

1. Reduction Algebras Involving Symplectic Lie Algebras
2. The intersection of local Arthur packets for even orthogonal groups and applications
3. On the normality of the commuting scheme
4. Lifting $A_\infty$-structures through coverings with applications to fractional Brauer graph algebras
5. Degenerations of chain complexes
6. Locally analytic representations in mixed characteristic via stacks
7. Counterexamples to the Reiner-Shimozono conjecture and the failure of Schubert filtrations
8. Endoscopic liftings and parameters of epipelagic representations for classical groups
9. Gabriel Spectrum of Persistence Categories
10. On the inductive Giannelli-McKay condition for sporadic groups
11. On convex bodies with rotationally symmetric planar projections
12. Cosets with constant characteristic polynomial
13. Spherical harmonics, operators of multiplication by coordinates, and infinitesimal conformal transformations
14. Symmetric group actions on the coordinate ring of the lower unipotent group and the polynomial ring with quantum parameters
15. The Kazhdan-Lusztig category of $\mathfrak{osp}_{1|2n}$ at irrational levels
16. Single-Orbit Recovery of Groups via an Optimization Principle
17. Braidings, duoidal categories and pre-Cartier structures for bi(co)modules
18. Partition functors and universal exponential relations

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

1. An irreducible decomposition of the Weil representation restricted to open compact subgroups
2. Categorical representations of algebraic groups in positive characteristic
3. Monoidal Gr\"obner systems and categories of affine Brauer type
4. A geometric realization of socle-projective categories for posets of type $\mathbb{D}$
5. Indecomposable characters of the wreath product of a torus by the infinite block-diagonal symmetric group
6. Frobenius functors and $n$-torsionfree objects
7. Exact dg structures are classified intrinsically by bi-Serre subcategories
8. On the Twisted Group Ring Isomorphism Problem for isoclinic groups
9. Graded Representation Theory of Equivariant Neural Networks
10. Slash indecomposability of Endopermutation Scott modules
11. The Brauer $A(\infty)$ condition and Navarro's conjecture on Brauer characters under coprime actions
12. Brauer webs of finite and affine type
13. Representation-tame Gei\ss-Leclerc-Schr\"{o}er algebras and a revised GLS conjecture on root systems
14. Multiplicity One Property for Archimedean Theta Correspondence
15. Uniform bounds on the Dunkl kernel
16. Littlewood-Paley theory for orthogonal expansions associated with root systems
17. Finite images of braid group representations and algebraic solutions of KZ-type equations
18. Dunkl theory, convolution algebras, and related Markov processes
19. Refining invariants of finite groups with class functions
20. A graph planar algebra approach to near-group categories

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

1. Base change and the Mackey formula in Deligne--Lusztig theory
2. From $\tau$-tilting to $\tau_2$-tilting via splitting tilting triples
3. Maximal proper extremal subset in the crystal basis of a finite-dimensional irreducible module
4. Quantum Satake in Type A: The General and Generic Case
5. Sign components of diagonal superspace coinvariants
6. Local theta correspondence and generalized Shalika models
7. Transferred $L_\infty$-structures and a classification of binary brackets for finite-dimensional skew-gentle algebras
8. Affine Harish-Chandra center in positive characteristic
9. Lift of the Trivial Representation: The Nonsplit Type $D$ Case
10. A bar operation on the double affine Hecke algebra
11. Gauge invariants raised from commutators of unimodular Hopf algebras
12. Nonvanishing of cohomology for groups
13. One-periodic category of twisted complexes, Cohen-Macaulay modules and differential modules
14. A non-spatial frame of smashing ideals
15. Tree Bricks and Finite Tree Automata
16. Local cohomology with Schubert support on compact Hermitian symmetric spaces
17. Unique mutation cycles of nucleus-extension quivers
18. Octonions, Albert vectors and the group ${}^2 \mathrm{E}_6(F)$
19. Counting tangles in coverings of closed 2-orbifolds via ribbon categories
20. Kodaira fibres and wrapped Floer cohomology
21. Quasi-overlap and quasi-grouping functions on bounded pseudo-ordered sets
22. The Auslander--Reiten conjecture for quantum complete intersections
23. Geometry around unramified CM points
24. Algebraic independence of periods of Anderson modules and their hyperderivatives
25. On the inductive blockwise Alperin weight condition for type $\mathsf B$ and type $\mathsf C$
26. Free Immersions in Critical Dimension from Lie Groups

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

1. Double flag varieties of Levi type with a finite number of orbits
2. Minuscule Relations in Quantum $K$-Theory of Flag Varieties
3. A Gelfand model for the Okada algebra
4. Categorical Lie-Rinehart modules and Shen-Larsson functors
5. Some freezing limits for Bessel functions and Bessel processes with drift of type $B_N$
6. Eigenvectors of $p$-Curvature for Geometric Difference Equations
7. Structure and Representations of Restricted Lie color triple systems
8. Restricted (Relative) Rota-Baxter operators on restricted Lie algebras and restricted Lie triple systems and related structures
9. An equivariant version of Gabber's lemma
10. Cohomology, Extensions and Deformations of restricted Lie triple systems
11. Projection Constants of Polynomial Spaces via Representation Theory

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

1. Tachikawa's second conjecture implies the Auslander-Reiten conjecture
2. The Arthur-Packet Support Equality for Real Reductive Groups
3. On the Hiraga-Ichino-Ikeda conjecture on formal degrees for $\mathrm{G_2}$
4. A Comparison Theorem for Parahoric Character Sheaves
5. A refined multiplication formula in 2-Calabi-Yau Frobenius extriangulated categories
6. Unitary Branching for $\mathfrak{sl}(m\vert n), \mathfrak{osp}(m\vert 2n)$ and $F(4)$
7. Representations of formal Lie groups and Lie pairs
8. Skein theory and deformations
9. Endoscopic description of the local Langlands correspondence for $\mathrm{G}_2$
10. Chow Vanishing and Motives of Cluster Varieties
11. Finite groups with a unique real $2$-block
12. The Serre--Hochschild plane of a finite-dimensional algebra
13. Classification of Automorphism Groups of Smooth Cubic Threefolds and Fourfolds
14. Rogers--Ramanujan identities from the geometry of $X^a=Y^b$

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

1. Generalized conformal modules over the Virasoro conformal algebra
2. Support $\tau$-tilting modules over Morita context algebras: A bilateral approximation approach
3. Symmetry breaking differential operators and Discrete Series
4. Monodromy Eigenvectors for Difference Equations with Root-of-Unity Step
5. Vacuum Structure of Maximally Supersymmetric Two-Dimensional Gauge Theories
6. On the singularities and the Kodaira dimension of unitary Shimura varieties
7. Stable Trace Formula for Newton strata of Shimura varieties
8. Wehrl-type entropy problem for compact connected semisimple Lie groups
9. The non-spherical sup-norm problem for $\mathrm{GL}(n)$ and generalized spherical functions

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

1. Loop spaces, twistor $\mathbb P^1$ and tempiric parameters
2. Functions on Nilpotent Orbit Covers and Birational Geometry
3. A tensor square theorem for characters of $\operatorname{GL}_{n}(q)$
4. The Mathieu Property for Compact Connected Lie Groups
5. Local Langlands functoriality for Yu's supercuspidals I: Kaletha's parametrization
6. Local Langlands functoriality for Yu's supercuspidals II: Fargues--Scholze's parametrization
7. On Cowling's $L^p$-integrability conjecture for Kunze--Stein groups
8. Modular functoriality for finite groups
9. A classification of finite simply reducible groups of order at most 2000
10. An abelian envelope without the quotient property

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

1. On Donkin's Tilting Module Conjecture IV: New Frontiers
2. One-dimensional partial actions of 8-dimensional Hopf algebras and right coideal subalgebras
3. Differential calculus on quantized irreducible flag manifolds
4. Simple Harish-Chandra bimodules in positive characteristics
5. The Gaudin model and the super Bethe ansatz for unitarizable modules over the general linear Lie (super)algebra
6. Elementary modules of the generalized Kronecker quivers K(n)
7. Graded Kronecker Modules of Constant Rank
8. Acyclic quantum cluster algebras via Hall algebras associated to cluster categories
9. Igusa--Todorov Algebras and the Auslander--Reiten Conjecture
10. Breaker Chains and Splitting of Interval Submodules in Zigzag Modules
11. On the derived Hall algebra of a graded gentle one-cycle algebra II: Serre presentation
12. New runner removal theorems for the cyclotomic Hecke algebras of type $G(r,1,n)$
13. Quantization of Preprojective Algebras and the Type A Rational Cherednik Algebra
14. Quasiparabolic Gelfand models for finite irreducible Coxeter groups and their canonical Hecke structures
15. On $\boldsymbol{p}$-rationality in double covers of symmetric and alternating groups
16. Virasoro extensions of generalized Kac-Moody algebras
17. Integral quiver presentations for $\mathscr R$-trivial semigroup algebras
18. Interval endomorphism algebras of posets: Reedy structure, combinatorics, and homological theory
19. The coherent KLR sheaf
20. Fusion-stable endosplit $p$-permutation resolutions
21. Stringy invariants for abelian character varieties
22. Constructing Concrete Colour Tensors for Simple Lie Algebras
23. Lieb's Permanental Dominance Conjecture for Ordinary Immanants through Order Fifteen
24. Cutoff for q-deformed classical card shuffles in the type A Iwahori--Hecke algebra
25. Degrees of Fano Quiver Moduli
26. Cyclotomic expansions of colored $SU(n)$ invariants of two-strand torus knots and Bailey transforms
27. Zeros in The Character Table of The Wreath Product of The Symmetric Group
28. Simplicial Complexes of Antichains in Root Posets and Related Combinatorics of Dyck Paths
29. A law of large numbers for Macdonald coherent measures
30. Holomorphic polyvector fields on toric varieties via Klyachko filtrations
31. PHP decompositions and primitivity of group rings for linear groups
32. Geometric Invariant Theory for Affine Superschemes
33. Free and projective LCD codes
34. Laurent Symmetric Functions

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

1. Hitchin's Conjecture for $\mathfrak{sl}_n$ in Odd Prime Degree
2. A Coefficient Calculus for Unitary (g,K)-Modules of SU(2,2)
3. Cocenter of Hecke algebras of Kac-Moody groups
4. On a question of Navarro on the field of values of characters of solvable groups
5. Torus actions on compactified braid varieties and polytopality of subword complexes
6. Odd-rank maximal ideals at collapsing levels of type $D$
7. A local approach to a programme of Meierfrankenfeld: initial setting and the symmetric case
8. Affine $\mathfrak{sl}_2$ at admissible levels and quantum $\mathfrak{sl}_{2|1}$
9. Jacquet--Rallis transfer for GL(2)

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

1. D-modules and Solvable Lie Foliations
2. The $E_6$ Restricted Hyperplane Arrangement and its $E_7$ Shadow: Weyl Transport on a Minuscule Bruhat Poset
3. Fence Posets, Good Gradings and Frobenius Maximal Parabolics
4. Weak Bruhat interval modules of the 0-Hecke algebras for stable Grothendieck polynomials
5. Quasi-Whittaker supermodules over Lie superalgebras
6. Rankin--Selberg integrals of opposite conductor--one newforms
7. Obstructions to Jacobi-Finiteness of Quivers with Potentials
8. Remarks on the shuffle elements of Iwahori--Hecke algebras
9. On Diagrammatic Categorification of Verma Modules I: Braiding
10. Some finite dimensional representations of shifted quantum affine algebras of type A
11. Gelfand--Tsetlin bases for representations of $\mathrm U_{q}(\mathfrak{gl}_n)$ at roots of unity
12. A closed signature formula for the Katz-Long-Moody Hermitian form

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

1. A counterexample to the periodicity conjecture for finite-dimensional algebras
2. Toric degeneration for hybrid qudit spaces
3. Syzygy Transformations of Cluster Characters and Geometric Twists
4. Derived equivalences between diagram categories of finite posets
5. Hybrid Kazhdan-Lusztig basis and parabolic induction
6. Finiteness and growth of brick chain filtrations
7. Cluster Morita theorem for negative cluster categories
8. Distinguished standard modules for $\mathrm{GL}_{2m}(\mathbb{C})/\mathrm{GL}_m(\mathbb{H})$
9. Secant varieties of flag varieties via Schur apolarity
10. Weyl defects in skein theory and quantum cluster charts
11. Lefschetz properties for monomial complete intersections
12. Representation Varieties of Stacks and Trace Maps
13. The Cuntz-Pimsner algebra of the simplest Motzkin subproduct system is 2-subhomogeneous
14. Local Ocneanu rigidity for separable algebra objects

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

1. Thick subcategories over weakly symmetric algebras with radical cube zero
2. A Note on Additive Diameter
3. PAGR: Proof-Carrying Algebraic-Geometric Retrieval: A Quiver-, Provenance-, and Sheaf-Theoretic Framework for Grounded LLM Retrieval
4. Criteria for discrete decomposability and admissibility in the branching problem
5. A hereditary theorem for rigid and pseudorigid components of Lusztig's nilpotent varieties in type $A$
6. Invariant Jacobian and the Center of a Homogeneous Form
7. Derived Reconstruction of Semisimple Tensor and Module Categories
8. Koszul duality for finite-dimensional absolutely Koszul algebras
9. A short note on Arthur parameters with singular orbit closures
10. Affine and cyclotomic Brauer categorification via $\imath$-Kac--Moody $2$-categories: the half-integral type $\operatorname{AIII}$ case
11. Representation and Extending structure of a Multiplicative Lie algebra
12. $q$-Oper Structures on a Formal Punctured Disc
13. Quasi-projective dimension and Gorenstein projective dimension
14. Splitting torsion classes in higher homological algebra
15. Atomic Decompositions of Lie Characters and the Dominant Weight Poset
16. Quasi-split iYangians: minimalistic presentations and coideal structures
17. Presenting mirabolic quantum Schur algebras $\mathcal{MS}_v(2,d)$
18. Essential algebra of the shifted Burnside biset functor with abelian shift
19. The Auslander-Reiten conjecture for algebras with radical cube zero
20. From Pre-triangulation to Triangulation: Obstructions and Exact Lifting
21. Partial $F$-invariants and cluster categorifications
22. Symplectic Dirac operators on homogeneous spaces
23. Mutation Sequences along Weaves and Amalgamation of Braid Varieties
24. Iterative construction of the R-matrices in arbitrary dimensions
25. Cohomology theory of Novikov algebras and applications
26. Ranks of Verdier quotients of derived categories over local rings
27. Permutation Representations on Cohomology of Toric Varieties
28. Thickening realization and positivity properties of canonical bases
29. Constructing the Monopole Formula for $A$-Type Good Quivers via Quiver Yangians
30. Christoffel transform and symplectic skew Howe duality
31. Spherical DAHA as an algebra of framed BPS states
32. Cohomological Hall algebras and Quot schemes of curves
33. On the unitary cohomology of semisimple groups
34. Rook characters as symmetric functions

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

1. Schatten norms and determinants of linear combinations of matrix tensor powers via virtual representations
2. On a basepoint issue in the tempered dual of $p$-adic $SL(n)$
3. Universality in the algebra and topology of cographs
4. Even and odd minimal categorifications of the nilpotent part of classical and quantum sl(2)
5. Cohomology on Cotangent Bundles of Partial Flag Varieties in Type A
6. q-Opers and Quantum/Classical Duality Beyond Type A
7. Semiorthogonal decompositions for families of twisted flag varieties
8. CFT characters from localization
9. Local Jacquet-Shalika integrals and modifying factors

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

1. Monoidal Categorification and Quantization of Braid Varieties
2. Positive kernels in Lie group representations and Fourier interpolation
3. What is Smoothness?
4. The Buckyball Spectrum
5. Singular equivalences of $n$-adjoint type and standard eventually homological isomorphisms
6. Exceptional model structures and the induced extriangulated categories
7. Jantzen filtrations for graded affine Hecke algebras
8. Enumerating cores of charged multipartitions
9. Universal Pl\"ucker positivity and the Octopus inequality
10. Additive diameters and covering complexity of irreducible representations
11. On the new bases attached to Weyl groups of exceptional type
12. Standard Representations of Crystallographic Coxeter Groups
13. Symbolic Powers and Asymptotic Invariants of GL-Invariant Ideals
14. Lecture hall polytopes and Lakshmibai-Seshadri paths
15. Haglund--Haiman--Loehr formula via Carlsson--Mellit Algebra
16. Galois representations ramified at one prime via relative deformation theory
17. An obstruction to the maximal singularity of the Hilbert scheme of points on threefolds

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

1. Measures on partial orders
2. A negative answer to a question on tilting objects and two-term complexes
3. A Serre-type presentation for $\imath$quantum supergroups of type A
4. Algebraic study of quantum configuration spaces of decorated flags
5. On the representation type of higher preprojective algebras of type $A$
6. Quantum wreath products and Yang-Baxter equations
7. Contact fundamental forms and adjoint varieties
8. The tensor category for W(2,2)-vertex algebra
9. Petersson-Rigid Lattices in a Census of 100 Rank-Three Root Bases

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

1. Shifted poles and chamber cancellation for classical Witten zeta functions
2. Gallagher's Theorem for Real-valued Brauer Characters
3. Axiomatics for generic categories in positive characteristic
4. A right pretriangulated category which is not right triangulated
5. Scary Wheels (and Super Shrubs)
6. Polynomiality for algebras of invariants associated with some In\"on\"u-Wigner contractions in type A
7. Total positivity in coordinate algebras
8. Diagrammatic Okada monoid and cellularity of the Okada algebra
9. Integral coefficient rings and homological dimensions of algebras
10. Hopkins-Levitzki Type Theorems for Groupoid Graded Rings
11. Algebra objects in direct limit completions of compact Lie group duals and the classification of $c=1$ vertex operator algebras
12. Towards Categorical K\"ahler Geometry
13. Deformation theory and the controlling $L_{\infty}$-structure of extended Rota-Baxter algebras
14. Regularized spectral expansion of a Rankin--Selberg period and moments
15. Cohomology characters on the incidence correspondence
16. Sharp Threshold for Universality of Rational Canonical Forms over a Finite Field

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

1. Bounded $t$-structures on the category of strongly bounded objects
2. Examples of nontrivial presilting objects in a singularity category
3. A pre-$(n+2)$-angulated category which is not $(n+2)$-angulated
4. Model structures on the category of Q-shaped modules
5. Generalized Jantzen filtration, hyperbolic restriction, and characteristic cycles
6. Pseudo-spherical representations and types for covers of split tori
7. Auslander-Reiten-Serre duality revisited
8. Picture groups and green sequences from the perspective of Ringel--Hall algebras
9. Transfer of Wakamatsu tilting modules along Frobenius extensions
10. Poisson blow-ups and the adjoint quotient
11. Classification of Simple Harish-Chandra Modules over the Loop Mirror HeisenbergVirasoro Algebra
12. ABRR Summation Formulas for Relative Extremal Projectors
13. GIT for root stacks and 3d mirror symmetry
14. Auslander correspondence for higher stable dg categories and cluster Morita theory
15. Kashiwara--Nakashima tableaux, Gelfand--Tsetlin patterns, and quantum symmetric pairs
16. Linear independence of global monomials on positive spaces
17. Morita equivalent blocks with an endotrivial source that are not globally isotypic
18. Cluster Geometry of Universal Schubert Polynomials I: Geometric Bases and Schubert Transitions
19. Quasimap critical cohomology, Coulomb branches, and quantum groups
20. The arithmetic rank of nullcones of classical invariant rings
21. Cyclotomic Newton Expansions and a Rank-Uniform Integer-Valued Newton Completion
22. Degree-shifted derived invariance of derived delooping levels
23. Divisor lattices and Schur positivity in cyclic induction
24. Poisson bialgebras by deformations-to-quasiclassical limits
25. Euler Characteristics of $\mathrm{SL}_4(\mathbb{Z})$ and $\mathrm{GL}_4(\mathbb{Z})$, and their cohomological consequences
26. Deformations and the controlling $L_{\infty}$-structure of extended Rota-Baxter Lie algebras
27. Quiver Semistability and Structured Kalman Decompositions for Networked Linear Dynamical Systems
28. Lie nilpotency index of skew symmetric elements in group algebras
29. No Equivariant Architecture Covers All Equivariant Attention
30. Relative Langlands duality of the Bump-Friedberg-Ginzburg $\mathrm{GSO}_6$-integral
31. $\sqrt{\Delta}$-Fine Rings
32. Protected Logical Qudits in Kitaev Quantum Double Models via Stable Representations
33. Sub-Laplacians on Compact Lie Groups: Heat Kernels, Distance, and Zeta Determinants

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

1. Orbits of maximal and submaximal dimension for Sylow $p$-subgroups of finite classical groups
2. Orbits of submaximal dimension for Sylow $p$-subgroups of finite classical orthogonal groups
3. Acyclic and totally acyclic objects in the $Q$-shaped derived category
4. Self-Orthogonal $\tau$-Tilting Modules and Tilting Modules II: Annihilator Separation
5. Lusztig-Vogan categories of equal rank 2
6. 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
7. Elementary divisors of the Cartan matrix for partial characters
8. Zero-free columns in character tables of symmetric groups
9. Singularity Categories of Simple Singularities in Positive Characteristic
10. On cluster deep loci in double Bruhat cells
11. Special Kirillov-Reshetikhin crystals
12. Independence of the Grothendieck classes of twisted symplectic flag varieties
13. The Twist Conjecture and the Isomorphism Problem for Coxeter groups
14. Quantum Fourier transform for the symmetric group
15. Quantum Fourier transform toolbox
16. Modular Functors with Singularities from Vertex Operator Algebras Beyond Rigidity and Finiteness

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

1. A $\sigma$-McKay theorem for $\pi$-separable groups
2. Auslander-Reiten (n+2)-angles and local finiteness
3. An enhanced Helgason-Johnson bound for $Sp(p, q)$
4. Unitary Shimura Correspondence for Complex Classical Groups
5. The Saito determinant for extended affine Weyl discriminant strata
6. Noncommutative Cluster Varieties and Moduli Spaces of Local Systems
7. A Mixed Robinson--Schensted--Knuth Construction in the Representation Theory of $\mathrm{GL}_n$ over Local non-Archimedean Fields
8. Leading term strandings for webs

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

1. On the Index of Borel Subalgebras of Lie Superalgebras
2. The image of the constant sheaf under the geometric Langlands equivalence
3. Characters of Quantum Symmetric Pairs
4. Contravariantly finite resolving subcategories over commutative local rings are trivial ones
5. The Moduli Space of Determinantal Representations of Cubic Surfaces and Invariant Theory of Root Systems
6. Crepant partial resolutions of the nilpotent cone via Hamiltonian reduction

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

1. Balanced and neat elements in quasi-reductive Lie superalgebras
2. Partitions of canonical bases
3. Double Hall algebras and derived equivalences revisited
4. A conjectural construction of Arthur packets in Fargues-Scholze's categorical local Langlands correspondence
5. The Isaacs-Navarro-Wolf conjecture
6. Kloosterman sheaves and Bessel functions for generic principal series of finite groups
7. A Comment on Local Hypercube Inequalities
8. Derived Enhancements of $T$-fixed subschemes
9. Fourier Coefficients of the Degenerate Eisenstein Series on Symplectic Groups

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

1. Piecewise Linear Equivariant Maps for Compact Groups
2. Tilting realizations of derived-equivalent matrix centralizer algebras
3. Admissibility of Bernstein centers
4. Support $\tau$-tilting modules over trivial extensions of hereditary algebras
5. The cyclotomic non-degenerate Hecke algebras of arbitrary Weyl groups
6. A Differential Characterization of the Metaplectic Kernel
7. Classification of Brauer graph algebras under stable equivalence of Morita type
8. Categorical Equivalences of Finite W-Superalgebras and Clifford Twists
9. The Eaton--Moret\'o Conjecture Holds True for \(p\)-Solvable Groups
10. Derived equivalent gentle algebras which are not tilting-cotilting equivalent
11. The Cartan determinant conjecture for representation-finite algebras
12. Integrable Generators of Algebraic Vector Fields for Real Connected Semi-simple Matrix Groups
13. Deflation map and the sum of inverses of the element orders in finite groups
14. Semi-orthogonal and derived decompositions for gentle algebras
15. Equivalence of categories of bivariant K-theory for C*-algebras over topological spaces via reflection functors
16. Affine supersymmetric pairs
17. Kohnen--Ueda local newforms
18. On the graded center of $D(G)^c$
19. Makhlin polytopes are Demazure string polytopes
20. Wall-crossing for equivariant DT4 invariants

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

1. Tilting Completion and Self-Orthogonality Modules
2. Torsion primes for spaces of commuting elements in Lie groups
3. Random walks on wreath products and spectral gaps for coloured interchange processes
4. Locally Acyclic Surface Type and Finite Type Cluster Algebras Have No Mysterious Points

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

1. Non-equivalence of pro-$p$-Iwahori invariants
2. The subregular and submaximal $p$-cells
3. Categorification in Representation Theory
4. Recollements of derived categories from $n$-term big tilting complexes
5. The Local Langlands Correspondence for Middle Supercuspidal Representations of $p$-adic $\text{GL}(2n)$
6. Complete Symbols of Equivariant Pseudodifferential Operators on Noncompact Symmetric Spaces
7. Modules with few Jordan blocks for rank $1$ groups of Lie type and related groups

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

1. The Brauer category $\mathcal{B}(2)$ has principal graph $D_\infty$
2. Coadjoint orbits of Row Closed Subgroups of $U_n(q)$
3. Maximal ideals in the finitary symmetric group algebra in characteristic two
4. Regularity and the Gelfand Property for Complex Symmetric Pairs
5. A simple construction of the automorphic residual spectrum
6. Schur polynomials twisted by roots of unity and reciprocal pairs: torsion filters, fusion quotients, and an equal-rank reduction at odd order
7. Gaudin models for some classical multivariate distributions

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

1. Cotangent Models of Nilpotent Orbit Closures
2. Nilpotency of locally isotropic $ \mathrm{K}_1 $-functor
3. Affine Dual Braid Monoids: Finite Cores, Exceptional Cluster Complexes, and Koszul Resolutions
4. Representations of twisted quantum affine algebras
5. Big categorification on towers of classical groups and wreath product groups
6. Symmetric spaces over a finite ring
7. Second-pole wall periods for Witten zeta functions in the classical families
8. On the $p$-rationality of Deligne--Lusztig characters
9. An equidistribution conjecture for quotient-closed and submodule-closed subcategories
10. A Newton Identity and Finite-Rank Reconstruction for the Queer Lie Superalgebra
11. Thompson's Conjecture for Finite Simple Groups of Lie Type over Small Fields
12. Non-orientable representation spheres

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

1. Symplectic F_2-vector spaces and Dyck words
2. Monoidal seeds of the categories $\mathcal{C}_{wv}$ over quiver Hecke algebras
3. Non-standard derived equivalences over arbitrary fields
4. A Note on Frobenius Character Formula
5. An exotic finite pretriangulated category over any algebraically closed field
6. On a conjecture of Hung, Mart\'inez and Navarro
7. Finitistic dimension via modules over the singularity category
8. Quantized Coulomb Branches of Separated Cotangent Type and Orthosymplectic Quivers
9. The second pole of Witten zeta functions and exact evaluations in types F4 and D5
10. On The Eaton-Moret\'o Conjecture for Principal Blocks of Finite Groups
11. Nilpotent representations over equioriented cyclic quivers
12. A note on the $\mho$-quiver
13. Matrix group $\Lambda$-distributions
14. Algebraic geometric framework of Rogers--Ramanujan identities
15. A categorification of the integral form of the Cartan subalgebra for quantum sl(2)
16. Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 5: cancellation theory
17. The principal series 2-representation for $\mathrm{GL}_n\times\mathrm{GL}_n$ over a 2-dimensional local field
18. Quot scheme of points on torus knot singularities
19. Twisted primitive group association schemes
20. The quantum Hikita conjecture via quasimaps
21. Groups with a Fixed Character Degree: The General Case

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

1. Specht Modules With Trivial Direct Summands
2. Quantum Drinfeld--Sokolov Reduction and the McRae--Yang Tensor Functors
3. Kostant--Kumar modules: presentation and multiplicities
4. Reducibility of linear representations, free ideals, and Kippenhahn's conjecture
5. Brauer graph algebras are closed under stable equivalence of Morita type
6. On finite-dimensional multiplicity-free irreducible modules for a nil-DAHA of type $(C_1^\vee,C_1)$
7. Gluing parabolic character sheaves
8. On Geometric Models of String Algebras: Uniqueness of Surfaces and Existence of Red Punctures
9. A greedy open-orbit criterion for solvable algebraic group actions, with applications to Lusztig's nilpotent varieties
10. Cleft Extensions for Hopf Algebroids without Antipodes
11. Torsion pairs in subcategories of modules over a commutative ring
12. On Takahashi's questions about dominant local rings
13. A kinematic explanation of the 1:3 ratio for rolling spheres and the exceptional simple Lie group of rank two

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

1. Nilpotent orbits of sl(n,R) admit no Gibbs state
2. Minimal Nilpotent Orbits of type G2, F4 and E8
3. Absolutely flat algebras in tensor categories
4. $g$-vector fans and picture categories for 0-Auslander extriangulated categories
5. Homogeneous Weights on Semigroup Algebras of Finite Commutative Semigroups
6. Categorification of the genus two DAHA
7. Moduli of super-representations of quivers
8. Langlands Duality and Invariant Differential Operators: the Case SL(2n+1)
9. Monodromy of plane curve singularities and quiver mutation
10. The fusion-stable tom Dieck homomorphism
11. Finite-Sum Realization of Archimedean Asai and Exterior-Square $L$-Factors
12. Synthetic Buildings for Finite Groups

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

1. On the Coxeter Cohomology of Irreducible Representations of Symmetric Groups
2. Non-unitarity outside the fundamental parallelepiped
3. Scopes equivalence for blocks of Ariki-Koike algebras
4. Artin algebras of small representation bound
5. The $D^{\Delta}$-pair biset category
6. Modules over the Takiff Block type Lie algebra
7. On $2$-blocks with quaternion defect groups
8. A Proof of Gluck's Conjecture
9. Subregular affine cells and the level $-1$ vertex algebra of type $D$

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

1. Small Lie algebras in the Verlinde category
2. Square root crystals and the square root of $B(\infty)$
3. Virtually Gorenstein Artin algebras are weakly Gorenstein
4. A canonical section method for conjugacy classes of GL_n(O_2)
5. Remarks on a proof of the absolute continuity of the representing measures for Dunkl's intertwining operator
6. Type C Richardson Boundaries and Newton-Okounkov Degenerations of Odd-Dimensional Projective Space
7. Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups II

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

1. GIM and Elliptic Lie algebras via Ringel--Hall Lie algebras
2. Transfer of abelian model structures to equivariant categories and homotopy squares
3. Enumerating iterated tilted algebras in type $A$
4. On the Godement-Jacquet functional equation for finite matrix monoids
5. Monoidal structures arising from $B_\infty$-algebras with applications to Hopf algebras
6. A new class of irreducible modules over the BMS-Kac-Moody algebra
7. Quasi-triangular Jordan D-bialgebras and extended relative Rota-Baxter operators
8. Jacobi descent charts and logarithmic quotient coordinates for split symmetric spaces
9. Rickard's question on standard derived equivalences
10. Growth in affine Hecke categories
11. Positivity of Pre-Canonical Bases for Spherical Hecke Algebras
12. On strongly G-regular rings
13. Generalized Quantum Minors Generate Quantized Coordinate Rings
14. 3d $\mathcal N=4$ rank-zero mirror symmetry, TQFT interfaces, and Zagier duality of Nahm sums
15. Plancherel and Poisson summation formulae for a family of affine $\Psi$-bundles
16. Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair
17. Tor and Ext vanishing results for commutative Artinian rings
18. Coherent sheaves on projective spaces and a lifting of the integral form of the Cartan subalgebra for quantum sl(2)
19. A pre-triangulated category which is not triangulated

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

1. A combinatorial rule for $GL$-multiplicities of $A_n$-quiver loci
2. Relative Interval Tilting, Higher Auslander Staircase Corners and Rational Dyck Posets
3. Decomposition matrices of cyclotomic $q$-web categories
4. A Kohno--Drinfeld Theorem for iquantum Weyl groups

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

1. Generic spherical unitary dual for Chevalley groups over local fields
2. Modularity of Point Counts for the Curves $X^a=Y^b$: New Rogers--Ramanujan Identities
3. Beyond transversality: structure of Clifford circuits for CSS codes
4. Relative modular categories from $\mathfrak{osp}(2 \vert 2n)$

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

1. Scattering diagrams for Artin algebras
2. Simple Restricted modules for $N=2$ Neveu-Schwarz algebra
3. On Tate cohomology and base change of representations of $D^\times$
4. On simples in a cosilting heart and mutation of cosilting pairs
5. Iwahori Fundamental Local Equivalence
6. Modular fusion categories with trivial Torelli group actions
7. Krull--Gabriel dimension and Cohen-Macaulay representations
8. Associative/Lie radical (co)invariance under tracial (co)actions
9. Classification of symmetric fusion categories over $\mathbb{R}$
10. Higher-dimensional Virasoro algebras
11. Zariski density of discrete subgroups via critical exponents and unitary representations

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

1. The extended Fargues--Scholze spectral action
2. Comparing self-dual corings, Frobenius corings and Ringel self-duality
3. A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations
4. Primitive central idempotents of a finite group over a field
5. A new characterisation of Auslander-Gorenstein algebras
6. Formulas for Koornwinder polynomials
7. Type $B$ fermionic coinvariant rings
8. Extended heart construction (I): The heart of $n$-cotorsion pairs on triangulated categories
9. Molecules of an affine FPF $W$-graph and an asymptotic row-Beissinger correspondence

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

1. Topological model for derived category associated to sphere with four binaries
2. On bricks of one-point extension algebras
3. Affine vertex algebras and an affine analog of Barbasch-Vogan's construction
4. Zelevinsky Segments and Hyperspecial Branching Laws for All Depth-Zero Representations of GL_N(F)
5. Cluster Algebras for Bosonic Plethysm
6. The double super Yangians in type A for arbitrary $0^m 1^n$-sequences and their bosonic representations
7. Residue construction of quantized Coulomb branches
8. A uniform decomposition theorem for invariant differential operators on imprimitive complex reflection groups G(r,p,n)
9. Intertwining Operators for Siegel Parabolics over Finite Fields
10. Chevalley-Eilenberg cohomology of linearly reductive Lie algebras in the Verlinde category
11. Hecke algebra representations from the Katz-Long-Moody construction
12. Some remarks on realizations defining diagrammatic Hecke categories
13. On a question by G. Navarro on the character field generation of odd-degree characters
14. Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types
15. Explicit description of certain 3-point K-theoretic Gromov-Witten invariants for flag manifolds
16. Near optimal spectral gaps for line bundles on hyperbolic three-manifolds
17. GL-algebras in positive characteristic III: the divided power algebra
18. Permutation of edges in mutation reduction of pointed Brauer trees
19. $q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis
20. Word maps and surface relations in symmetric groups
21. Classification of irreducible highest weight modules for the parafermion vertex algebras $N_k(\mathfrak{sl}_2)$ at arbitrary level
22. L-packet multiplicity and integral structure in the K-theory of real inner forms
23. Automorphic functions for square-zero extensions of curves over finite fields

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

1. Associated graded modules for modular representations of quaternion algebras
2. On the Mutations of Gentle Quivers and Admissible Ideals
3. Weyl group of semisimple symmetric space
4. Flat models for Q-shaped derived categories via PGF objects
5. Geometry and coefficients of \v{S}apovalov elements for KM Lie superalgebras
6. Stability conditions and moduli spaces on projective families
7. On a Schur-positive function

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

1. Types and collapse for cuspidal representations of groups acting on trees
2. On weight modules over truncated shifted iYangians
3. The ordered F-system for the F-method and differential symmetry breaking operators for $(GL(3,\mathbb{R}), GL(2,\mathbb{R}))$
4. On a proof of the Gorenstein Symmetry Conjecture
5. Classification of Simple Cuspidal Modules over Nongraded Witt Lie Algebras
6. Higher-level degenerate spin affine Hecke superalgebras
7. A Tale of Two Idempotents: Casselman-Shalika and Spherical Genericity
8. Laplacian Bounds for the Dissociation Number of Regular Graphs of Matrix Rings
9. An infinitesimal deformation of the post-Lie and post-Hopf algebra correspondence
10. Mixed-identity-freeness and primitivity of group rings
11. $\mathsf{SKB}$ is not algebraically coherent
12. Schwartz spaces on L-monoids: non-Archimedean

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

1. Irreducible non-holonomic modules for rational Cherednik algebras
2. Neighboring seeds in affine type: Universal coefficients and finite mutation-type
3. Vanishing elements of prime power order and their class size property
4. Mixed partition functions are exactly the graph parameters of exponentially bounded edge-connection rank

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

1. Rigidity of higher Auslander algebras of type $\mathbb{A}$
2. A polyhedral formula for $n\times2\times2$ Kronecker coefficients via cluster algebras
3. Quiver data of representations of Hecke algebras and Coxeter groups
4. Nijenhuis modules and the ring of Nijenhuis operators
5. Incidence algebras and beyond: brick-continuity and generic bricks
6. Harmonic analysis on compact standard quotients of non-Riemannian semisimple symmetric spaces
7. Hochschild Cohomology of the Symmetric Square of an Annulus with Stops
8. Twisted automorphic descent to odd GSpin groups and applications
9. Diagonal cycles on Shtukas and the adjoint $L$-function
10. Completing the Arakawa--Moreau Conjecture on Maximal Ideals of Affine Vertex Algebras
11. Beyond endoscopy for the symmetric square representation: The simple trace formula case
12. Categorical absorptions of cone singularities
13. Protomodularity of cocommutative Hopf monoids in duoidal categories and quasitriangular Hopf algebras
14. Intersection Cohomology of Igusa Stacks
15. The Cautis-Logvinenko conjecture

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

1. Rankin-Selberg duality via gluing
2. A second reduction-type formula for the refined Littlewood--Richardson coefficients in type A
3. On the natural transformations of extension functors
4. The loop-nilpotent cohomological Hall algebra
5. Efficiency of mutation reduction for Brauer trees
6. Notes on Chevalley Groups and Root Category IV: Iwasawa Decomposition and Total Positivity
7. Counterexamples to Norm Conjectures of Wehlau in Modular Invariant Theory
8. Beyond the Adams Conjecture
9. On Representations of Weyl Groups attached to Spherical Varieties
10. The proper stable module category of a group algebra
11. Simple modules for affine nilCoxeter algebras
12. Irreducibility of the tensor product of Yangian \( \mathrm{Y}(\mathfrak{gl}_{m|n}) \) evaluation modules
13. Infinitely Many Components in Auslander--Reiten Quivers of Representation-Infinite Algebras over Perfect Fields
14. Trace radicals and cocenters of free products
15. Coulomb branches, quantized zastavas, Kac polynomials, and shuffle algebras
16. Carlsson's Conjecture and the Generalized Total Rank Conjecture in Characteristic Two
17. Matrix Kloosterman sums and product-trace estimates for semisimple algebras
18. A Grothendieck category with a noetherian generator and exact products that is not a module category
19. Brauer Relations for Symmetric Groups: Young--Wreath Quotients and the n-Cycle Mark Obstruction

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

1. Quantum Weyl Relations arising from Two-Term Complexes
2. Efficient Spatial-Spectral Feature Extraction in Hyperspectral Images via Holistic Multivariance Decomposition
3. Positivity of stretched Littlewood-Richardson coefficients for partitions of length at most four

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

1. Flag Space, Matroidal Schur Algebras and the Steinberg Representation
2. Protected corners and a trichotomy for Han's conjecture
3. Closed formulas for energy functions on tensor squares of higher-level perfect crystals in classical affine types

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

1. Higher cluster tilting objects in locally finite triangulated categories
2. Geometric models for endomorphism algebras of tilting modules over gentle algebras
3. Special unipotent representations and the coadjoint orbit method
4. Extremality of principal quiver Grassmannians
5. Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals
6. Twisted Deligne products of semisimple tensor categories
7. Derived representation schemes with arbitrary coefficients and associative smoothness
8. Hitting time mixing for random $k$-cycles
9. The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions

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

1. Heaps of modules: homological aspects
2. Cyclic covers and non-orbit 3-representation-finite symmetric algebras
3. A Counterexample to Wehlau's Conjecture on Noether Numbers
4. Hopf $2$-cocycles for certain affine algebraic reductive groups
5. On the absolute convergence of the spectral side of the twisted trace formula
6. Generic polar divisors and flag residues for root-system zeta functions
7. Archimedean Modular Symbols for Rankin-Selberg Convolutions of $\mathrm{GL}_n(\mathbb{C})\times\mathrm{GL}_n(\mathbb{C})$ and $\mathrm{GL}_n(\mathbb{C})\times\mathrm{GL}_{n+1}(\mathbb{C})$
8. Unlocking the Wronskian Tower: A Simplification of the Holomorphic Modular Bootstrap
9. Polynomiality of Stretched Schubert Structure Constants and Key Coefficients
10. Non-Abelian multiplicative chaos on the circle
11. Diffeological non-Abelian Hodge theory: relative harmonic metrics and deformation theory
12. Permutations with Verma Multiplicities $[M(p):L(q)] \geq 2$
13. Invariants of the extended twisted $h$-Yangian
14. Resolution of the ENO-TV conjecture: a parity dichotomy

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

1. The exceptional series through the fifth tensor power
2. Twisted super Yangians of quasi-split type A
3. Tensor Powers of Indecomposable Modules for $F\frak{S}_p$
4. Cyclotomic character fields and sets of primes
5. Branching rule for $SL_{n+m}(\mathbb{C})\supset SL_n(\mathbb{C})\times SL_m(\mathbb{C})$
6. Clifford and Weyl algebras in symmetric tensor categories
7. Iwahori component of the Gelfand--Graev representation for reductive groups
8. On a super-Virasoro group, a semigroup of annuli, and Gauss--Berezin integral operators
9. Nilpotent quiver varieties with multiplicities and symmetrisable crystals
10. Model structures arising from weak cotorsion pairs
11. A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras
12. Space of norms on locally algebraic representations
13. Equivariant Schubert Calculus for Inverse Grassmannian Permutations
14. The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography
15. Coincident Poisson structures on principal-bundle moduli spaces
16. Bia{\l}ynicki-Birula Decompositions of Nakajima Quiver Varieties, Quiver Chains and Star-Shaped Quivers
17. Expanding Generalized Fine Rings
18. Fricke's trace identity and spin groups

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

1. Linear representation of groups associated to graphs
2. Lusztig's special pieces conjecture
3. The Mathieu group ${\sf M}_{12}$ vs ${\mathbf{SL_3(3)}}$ in characteristic 3
4. Wide subcategories and brick-finiteness for length categories
5. The Telescope Conjecture for Global Representations and FI-modules

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

1. Cluster structures on $SL_n/SO_n$
2. A superplethystic formula for superrestriction coefficients
3. Koszul Duality for Coherent Sheaves
4. Twisted Yangians of types BI, CI, DI and Drinfeld type current relations

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

1. Type $B$ Webs
2. What Your Model Threw Away and Why You'll Want It Back: Masking, Fingerprinting, and Privacy from Discarded Geometry
3. The Action of the Lie Algebra $\mathfrak{sl}_n$ on Colored Graphs and Multicolored Johnson Graphs

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

1. Noncommutative Floquet--Bloch Theory for Nilpotent Groups:\ Representation-Theoretic Foundations
2. Stable Limit DAHA of type $(C^{\vee},C)$ and Stable Limit Koornwinder Polynomials
3. Homomorphisms between standard modules of generalized Reedy categories
4. M\"obius functions for pseudo-Levi subgroups in finite general linear and symplectic groups
5. A universal leading-residue formula for Witten zeta functions
6. Kleber's conjecture and complementary products of symmetric functions
7. Contractions and applications of crystal skeletons: Young quasisymmetric and Stanley symmetric functions
8. Euler Characteristics of Generic Quiver Grassmannians: Semi-Invariants and Localization
9. A Proof of Sundaram's Bounded-Interval Higher Lie Positivity Conjecture
10. Record compositions of alternating permutations and noncommutative symmetric functions
11. Fano 4-fold quiver moduli from subspace quivers

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

1. Weights and characters for affine Hecke algebras
2. Base Change Fundamental Lemma for Central Elements in Depth-zero Hecke Algebras over Local Function Fields
3. Homological rigidity of quiver representations over $\mathbb{F}_1$
4. Block-exoticity of reduction simple fusion systems on $S(n,p)$
5. Bump-Friedberg type periods beyond the cuspidal spectrum
6. Symmetry for the spin highest weight module $V(\Lambda_n)$
7. The Aubert and Bernstein involutions for disconnected groups
8. $\tau$-Hochschild (co)homology, the square of the Serre bimodule, and the Coxeter automorphism of the Tamarkin--Tsygan calculus
9. $\mathfrak{so}_n(\mathbb{C})$-modules which are free over an abelian nilradical
10. FFLV bases for covariant representations of $\mathfrak{gl}(m|n)$
11. Balanced notation for $\tau$-rigid pairs
12. Global dimension of a string algebra
13. Mackeyfication of equivariant categories I
14. The quantum double of the restricted quantum group $\mathbf{\overline{u}}_q(\mathfrak{sl_2})$
15. Superconformal algebras over arbitrary rings of coefficients

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

1. Indecomposable extensions of perverse sheaves over a closed stratum
2. A diagrammatic field theory of quantum error correction
3. Hilbert schemes of points on canonical surfaces
4. Centers of q-Schur algebras

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

1. On the Self-adjoint properties of the standard Whittaker $(\mathfrak{g}, K)$-modules
2. Representations of $p$-adic reductive groups
3. The fundamental theorems of invariant theory for linearly oligomorphic groups
4. High-degree cohomology of congruence subgroups of $\text{SL}_n(\mathcal{O})$ via cohomology of $S$-arithmetic groups

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

1. A field-independent filtration of plethystic modules for $\mathrm{SL}_2(\mathbb{F})$ that categorifies a product rule for the Cartan subalgebra of $\mathcal{U}_q(\mathfrak{sl}_2)$
2. Covers of Bruhat-Tits trees
3. Harish-Chandra images of orthosymplectic Sugawara operators and Casimir elements
4. A categorification of the Brenti--Welker identity
5. From $(n+1)$-term subcategories to $(n+1)$-term complexes
6. Extriangulated ideal quotients and $d$-Auslander categories
7. Aubert duality and co-tempered data
8. Geometry and topology of the tempered Iwahori-spherical representations of a split semisimple $p$-adic group
9. Magnitude of module categories
10. Athinization of irreducible $\widehat{\mathfrak{gl}}_n$-modules with dominant highest weights
11. On Two Algebraic Realizations of Schubert Calculus
12. Honeycombs and Sums of Hermitian Matrices, Revisited
13. Multiplication Beyond Groups: Stratified Fourier Mechanisms in Transformer Circuits
14. The Knop-Luna-Vust theory of spherical embeddings, extended to non-reductive groups
15. $p$-adic Maass--Shimura operators on $\mu$-ordinary Igusa varieties
16. Palindromic Poincar\'e polynomials in Type $B$

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

1. Dual imaginary vectors, tight monomial cones and quantum Frobenius morphism
2. Commutativity of nilpotent cohomological Hall algebras of $\mathbf{A}^2$
3. Inner Products and Banach Algebra structures on Bicomplex Numbers and Their Associated Spaces
4. Brauer groups of resolved quiver moduli via gerbes
5. Convergent realizations of Lie subalgebras

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

1. Presenting restricted Steinberg modules of general linear groups
2. A note on the submonoids of the tied-symmetric monoid containing the symmetric group
3. Associated graded modules of mixed Hodge modules on quivers and preprojective K-theoretic Hall algebra
4. Uniqueness of Branching through regular unipotent elements
5. Affine cellular algebras and asymptotic algebras
6. Spherical subgroups in reductive algebraic groups
7. Quantized Howe-type dualities via Koornwinder polynomials and the X=K phenomenon
8. Category $\mathcal{O}$ for truncated shifted Yangians and the bi-infinite Bott-Samelson variety
9. Piecewise Symmetric Tensors
10. Theta correspondence as a C*-correspondence
11. Semigroup approach to admissible representations of the infinite symmetric group
12. Computing the continuous symmetries of a parametrized variety
13. A Mackey criterion for locally analytic representations
14. A Polynomial Recovery Criterion for Forced Commutativity in the Matrix Square-Root Fiber of a Square-Free Cubic Polynomial
15. On the number of Frobenius periodic vector bundles on elliptic curves
16. A family of generalized Gelfand pairs attached to $3$-step nilpotent Lie groups

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

1. A degenerate Whittaker criterion for $\mathrm GL_{2n}$
2. Euler characters for general linear Lie superalgebra
3. Simple restricted modules over the deformative Schr\"{o}dinger-Virasoro algebra
4. Feigin-Semikhatov duality at the critical level
5. Part bounds for the Sylow permutation characters of $S_n$
6. Hecke operators on symplectic surfaces and $\chi$-independence
7. Degrees of $p$-rational characters and normality of Sylow $p$-subgroups
8. Unitriangular R-matrices of quantum affine algebras and Yangians via Theta series

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

1. Central isogenies and conjugacy classes in reductive groups
2. Fukaya categories of Coulomb branches as unique deformations
3. Reductive monoids over general base
4. Pseudo-centralizers in affine Hecke algebras
5. Almost multiplicity-one property of spherical varieties over finite fields
6. Harish-Chandra theories, Ennola $d$-ality and Rouquier blocks for spetses
7. The universal property of strict polynomial functors
8. On the number of extension closed additive subcategories for uniformly oriented $A_n$ quivers
9. Quantum imaginary Schur-Weyl duality
10. Large silting mutation in extriangulated categories
11. Double Transposed Poisson Algebras
12. Semisimple types for quaternionic forms of p-adic classical groups and compatible beta-extensions
13. Directional expansion in ergodic actions of countable groups

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

1. An overview of the geometry of Kottwitz-Viehmann varieties
2. Image of Regular Unipotent under a Representation of $\mathrm{GL}_3(\mathbb{C})$
3. On the trilinear and Ginzburg-Rallis models
4. A generalization of partition identities of G\"ollnitz-Gordon, Rogers-Ramanujan and Nandi
5. A lower bound for the Rouquier dimension of derived categories over commutative rings
6. Local-global compatibility at $p\neq\ell$ for torsion automorphic forms
7. Prime spectrum and representations of the super Jordan plane
8. Quantum Stokes matrices and quantum Riemann-Hilbert-Birkhoff maps

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

1. New columns in decomposition matrices of symmetric groups for every block
2. Representations of compatible Lie algebras
3. Quantum Betti geometric Langlands functor
4. Ideal $n$-cotorsion pairs in Frobenius extriangulated categories
5. On the structure of the singular triplet monoid and its virtual extension
6. Orbits on a product of two flags and a line and the Bruhat order, II
7. The Dolbeault geometric Langlands correspondence for type A groups beyond the elliptic locus
8. The heat-kernel master field on $\mathbb{Z}^d$ at strong coupling
9. Three-Dimensional Real Affine Lie Groups
10. Deformation theory of the Double Affine Hecke algebra of type $(C_n^\vee,C_n)$
11. Bessel Distributions and Kloosterman Sums

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

1. Representations of infinite species
2. The representations of the Lie superalgebra $p(3)$ in characteristic 3
3. The brick chain complexity of an artin algebra
4. Average divisibility in character tables of $\mathrm{GL}_2(\mathbb{F}_q)$
5. Stability of the exterior cube $\gamma$-factors for $\mathrm{GL}(6)$
6. On $U(\mathfrak{h})$-free modules of finite rank over $\mathfrak{sl}(2)$
7. Enumerating matrices with prescribed entries in an adjoint orbit
8. Coordinate projections of $c$-vectors of cluster algebras from the annulus
9. On Franke's theorem in the simplest case
10. Zonal Spherical Functions of Quantum Symmetric Pairs
11. Shirokov realizations of low dimensional Lie algebras

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

1. Hochschild (co)homology and cyclic homology via a graded Euler characteristic with applications to higher preprojective algebras
2. Quantum Harish-Chandra bimodules at roots of unity and affine Hecke category
3. Brick infinite algebras admit infinitely many non-$\tau$-rigid bricks
4. On some components of $L(\rho)\otimes L(\rho)$ associated with rooted trees for symmetrizable Kac-Moody algebras
5. Graph Isomorphism and Representation Theory
6. $e$-polynomials of character varieties
7. Artin monoids, their homomorphisms and twins
8. On the deformation theory of chiral quantizations
9. Hall Geometry and Auslander-Reiten Quiver

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

1. The tilting property of Whittaker averaged central sheaves
2. Total positivity and symmetric spaces
3. Equivariant Cleft Extensions and Singular Equivalences
4. The representation theory of the wreath product of a finite group with the monoid of all partial functions on a finite set as an EI-category algebra
5. Preprojective algebras and generalisations: A short survey
6. Effective Computation of Mutation Paths and Generators of Cluster Automorphism Groups
7. On the Moser trick for Lie subalgebras and foliations
8. Profinite Borel completeness and smooth Artin motives

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

1. Group Permanents of Abelian $p$-Groups and Young Diagrams
2. On the Humphreys-Verma Conjecture for semisimple algebraic groups of rank $2$
3. Weyl's Polarization in Classical Invariant Theory: A Primer, with Worked Examples
4. Interpolating Schur Algebras
5. Chiralization of Quiver Varieties
6. A Littlewood-Richardson Rule for Forest Polynomials via the Schubert Bialgebra
7. The KdV vacuum operator and its Katz extension
8. Weyl orbit particles
9. General Lagrangian formulations for mixed-antisymmetric tensor fields on flat backgrounds
10. Non-asphericity of strata of genus-one differentials and stability spaces
11. Irreducible noncommutative quadrics
12. Vertex Superalgebras for Hypertoric Varieties and 3d Abelian Gauge Theories
13. Representations of finite skew braces

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

1. Derived equivalence of posets of torsion classes
2. Parabolic induction for modular finite $W$-algebras
3. On Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of $\mathrm{GL}_n$
4. Resolving subcategories for gentle algebras III: Tilting modules for gentle tree algebras
5. Steinberg quotients and Smith-Treumann localization
6. Representation theory of projective Clifford groups via isocategoricality
7. A note on simple-minded systems and weakly simple-minded systems over self-injective algebras
8. Codistinguished abelian subcategories
9. On the action of the center in the $\ell$-adic categorical Langlands program
10. Twisted Jacquet modules associated to maximal parabolic subgroups and cuspidal representations of $GL(n, q)$
11. Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$
12. Infinite $\tau$-tilting theory
13. A Graphical Calculus for Induction and Restriction on Temperley-Lieb Modules
14. A Catalogue of the Lie Amaldi Classification with Structures Identified
15. Cubic Jordan algebras are not a series
16. Recollements of Triangulated Categories and the Singularity Category of a Triangular Matrix Category
17. Quiver Approach to Symmetry Theories
18. Poisson structures of deformed $W$-algebras and classical $W$-algebras
19. The algebraic K-theory of $k[\operatorname{SL}_2(\mathbb{F}_q)]$
20. Semi-integrable almost hyperhermitian structures
21. Group-theoretical property of some integral non-degenerate fusion categories
22. A conjecture on the action of Hecke operators

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

1. Hopfological algebra, revisited
2. Convolution algebras associated to representations
3. Stiefel-Whitney classes for symmetric groups
4. Characters of modules over negative rank-2 Borcherds-Kac-Moody Lie algebras
5. Silting t-structures in $Q$-shaped derived categories
6. One-point functions for $C_2$-cofinite VOAs: pseudo-traces and trace spaces of projective modules
7. $K$-Theoretic Obstructions to Linearizing QCA Representations
8. Twisted quantum loop algebras via semi-derived Ringel-Hall algebras
9. Geometric realization of affine bases: the Kronecker quiver case
10. A Riesz-Thorin Approach to the Rapid Decay Property for Free Groups
11. Nijenhuis Lie $2$-algebras
12. Cohomology of $\mathbf{GL}_d(\mathbb{F})$ in non-defining characteristic via the quantum schur algebra
13. Symplectic duality for the constant term of the geometric Eisenstein series

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

1. Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules
2. Symmetric and Isotypic Hilbert Series for Symmetric Ideals
3. Schneider--Teitelbaum Duality over a Non-spherically Complete Field
4. Classical freeness of $\widehat{\mathfrak{sl}}_n$ at level $1$ via combinatorics

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

1. Spectral Intertwining Operators
2. The iterated geometric Green's formula
3. Radon transform for $GL_n(\mathbb{F}_q)$
4. Non-isomorphic restricted Lie algebras with isomorphic restricted enveloping algebras
5. Skew column RSK dynamics and the box-ball system
6. Congruences of shifted Jack Littlewood-Richardson coefficients

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

1. A classification of derived-discrete graded algebras
2. Shalika Models for Finite General Linear and Unitary Groups
3. Quiver representations and idempotent loops
4. Cohen Macaulay modules and positroid varieties
5. Mutations of simple-minded collections revisited
6. The Coxeter transformation as an automorphism of the Tamarkin--Tsygan calculus
7. Noncommutative resolutions of affine Schubert varieties in type A and canonical bases
8. On reduction and gluing technique of simple-minded systems over self-injective algebras
9. A construction of simple-minded systems over domestic Brauer graph algebras II: the 1-domestic case
10. Monoidal categorification of generalized cluster algebras and conjectures of Fraser and Gleitz
11. Right representations of Novikov algebras
12. Homomorphisms to Hook Specht Modules over Quiver Hecke Algebras of Type C
13. Multisymmetric polynomials on set-theoretic quiver representations
14. Cohomology of Flag Superschemes and Syzygies of Compositional Varieties
15. A skew Murnaghan--Nakayama rule for Hopf dual pairs
16. The Opdam-Cherednik kernel is the Laplace transform of a positive measure
17. A Generalization of UQ Rings
18. K-theoretic construction of affine quantum Schur algebras and iquantum groups with unequal parameters
19. On the number of symmetric chain decompositions of the minuscule lattices $L(m,n)$ and $M(n)$
20. An Algebraic Matrix Spencer Theorem
21. Torsors of Generalized del Pezzo Tori and Brauer Groups
22. $q$-Deformed Topological Recursion, Weight Vectors and Algebraic Structures
23. On the Representation Theory of Non-Admissible $W$-Algebras: Part I
24. A diffeological perspective on non-Abelian Hodge theory
25. Bounded Bruhat intervals and affine Coxeter groups
26. Grassmannian quantum cohomology in the infinite limit and total positivity

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

1. Simple modules over the superconformal algebra $\mathcal{S}^{\prime}(1,n)$
2. Quantum dynamical Weyl groups from quantum loop groups of arbitrary shuffle type
3. A proof of Harish-Chandra's integrability theorem for cuspidal representations of $\mathrm{GL}_n(\mathbb F_\ell((t)))$
4. A nonabelian Fourier transform for tempered unipotent representations, II
5. Theory of Infinite Maximal Green Sequences: Finest Stability Data, CBHO Sequence and Cluster quiver pattern
6. Quasi-Classical Braverman--Kazhdan Intertwiners via Quiver Varieties
7. Computing stable homology representations of graph configuration spaces
8. Nodal degeneration of chiral algebras II: Local structure and chiral Zhu algebras

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

1. Rank recursion for $q$-Whittaker and Macdonald operators
2. Silting subcategories and (co)torsion pairs associated to extended hearts
3. A survey of character sheaves
4. Two-sided tilting complexes over symmetric algebras sending simple modules to shifts of modules
5. Rings with Clean-Like Properties: Endomorphism, Matrix and Structural Theorems
6. Finite generation, algebraicity, and representation stability for homology of Torelli groups

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

1. The Harish-Chandra isomorphism for supersymmetric spaces and ghost distributions
2. Gelfand--Kirillov dimensions of highest weight modules for basic classical Lie superalgebras
3. Singular Hochschild complex and Cartan matrix
4. $\tau$-tilting modules, depth and delooping level
5. A new proof for the partition algorithm of the annihilator varieties of highest weight modules
6. A Hecke algebra isomorphism over close local fields for metaplectic groups
7. Canonical Bernstein-Zelevinsky Filtration and Casselman's Comparison Conjecture
8. Negative heat capacities in spherically symmetric sectors of $d$-matrix quantum mechanics
9. On Terwilliger $\mathbb{F}$-algebras of factorial association schemes II
10. Special Matchings, Brenti's Conjecture, and the Combinatorial Invariance Conjecture
11. Matrix Discrepancy for Representations of Finite Groups

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

1. Tilting modules for the Cummings construction
2. Spin characters of the alternating group which are proportional to linear characters in characteristic 2
3. Spin characters of symmetric and alternating groups which are proportional in characteristic 3
4. Spherical modules and the Auslander--Gorenstein condition for Auslander--Yoneda algebras
5. A generic categorical local Langlands correspondence for quasi-split reductive groups
6. The crystalline cohomology of covers with a cyclic $p$-Sylow subgroup
7. A quiver approach to quasi-quantum groups with the Chevalley property
8. Derived skein module

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

1. From Characters to Matrices: An Elementary Construction of Irreducible Representations of Finite Groups
2. Associated varieties of simple affine vertex algebras at rational levels
3. Wavefront sets and descent method for finite classical groups
4. Non-abelian hypercohomology of a group with coefficients in a crossed module, and Galois cohomology
5. Equivariant compactifications, trivial embeddability and finite type
6. Cocompletions for non-abelian vertex tensor categories
7. Octonionic structure operator and its right spectrum
8. Newton--Okounkov bodies of partial flag varieties via cluster algebras
9. Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras
10. Notes on gamma invariants of finite dimensional Hopf algebras
11. Real algebraic varieties and their intersection cohomology

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

1. On universal deformation rings and stable equivalences of Gorenstein-projective modules
2. On representations of GL(n) distinguished by GL(1)*GL(n-1) over a quaternion division algebra
3. Whittaker Category and Finite W-superalgebras for Cartan Type Lie Superalgebras
4. Widths of regular components for n-regular tree $T(n)$
5. Fourier positivity for spherical functions I: split tori and spherical principal series
6. Geometric Factorization of Sufficient Harmonic Representations
7. A Comparison of cluster algebra structures arising from $i$-boxes and Demazure weaves
8. On a Small Version of the Reflection Equation Algebra

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

1. Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type
2. A problem on Hecke algebras for $\mathrm{GL}_n(F)$ for $n>2$ over $p$-adic field $F$
3. Frobenius--Perron dimension and tensor products of algebras
4. Arithmetic Wavefront Set and Microlocal Structure of Harish-Chandra Character
5. Abelian envelopes for interpolation categories of wreath products from monoidal adjunctions
6. Dirac operators for infinite-dimensional color Lie algebras
7. Local Weyl modules and skew Howe duality
8. Stability of the smooth Casselman-Jacquet functor
9. The spectrum of the bosonic ambitwistor string revisited
10. Benchmarks in Leipzig
11. Frayed Demazure weaves for Poisson-compatible cluster structures on Bott--Samelson charts
12. On strong identities of almost-canonically seminormed rings
13. Quot spaces in tilted hearts and Hall algebra modules

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

1. The subnormaliser conjecture and unipotent characters
2. Whittaker constructions for quantum affine algebras
3. Stokes phenomenon and quantum supergroup $U_q(\mathfrak{gl}(m|n))$
4. Cyclic source pairings for Penrose--Sparling non-Hausdorff twistor spaces
5. Center and derivations of generalized Weyl algebras over $\mathbb{Z}/p^n\mathbb{Z}.$
6. Correspondence of discrete series representations of $\mathrm{GSp}_{2n}$ and its inner form
7. The Azumification of orders

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

1. On higher extensions of quiver representations over $\mathbb{F}_1$
2. Towards the Relative Langlands Duality for Orthosymplectic Pairs
3. Commutativity via Spectral Equivalences of the Jordan Product in Banach Algebras
4. On cellularity of Hecke Algebras for Wreath Products
5. The Abel--Jacobi map over the twistor-$\mathbb{P}^1$ and real local class field theory
6. A structural reduction for the symmetric hit problem in four variables
7. On the gap of quiver representations
8. On a conjecture concerning totally extremal ideal Perron similarities
9. On maximal Dynkin friezes
10. Uncrowding the 5-Vertex Model: RSK and Crystal Structures
11. Neural Networks Provably Learn Spectral Representations for Group Composition

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

1. Kleshchev multipartitions, affine Mirkovi\'c-Vilonen polytopes, and representations of KLR algebras in type ${\tt A}^{(1)}_1$
2. AHA! RSK
3. Classifying subcategories of a Grothendieck category via its spectral category
4. Weyl algebras on Braverman-Kazhdan spaces
5. Wide Regular Subalgebras of Symmetrizable Kac-Moody Algebras and an Extension of Schur's Lemma
6. Perverse filtration on the cohomology of affine Springer fibers
7. The Unitarity of Arthur Packets for Real Reductive Groups
8. Presentations for categories of crystals
9. On rational representations and rational group algebra of $\operatorname{GL}_2(q)$
10. Folding shuffle algebras and twisted $q$-characters
11. $(P,\phi)$-Tamari and higher torsion lattices of type $\mathbf{A}$
12. Properties of deformed mass and phase functions
13. Quasisimple groups with a proper subgroup having the same vector orbits in characteristic $2$
14. The conflated expression graph for an arbitrary permutation
15. The categorical local Langlands conjecture
16. Band Bases as Common Triangular Bases in Cluster Algebras from Surfaces
17. Stable Degeneration, Non-degenerate Forms, and Kaledin's Conjecture
18. Hybrid Clifford Codes via Operator Algebra Quantum Error Correction and Projective Representation Theory

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

1. The classification of integral endotrivial complexes
2. Multi-welded twin groups
3. Descent and finite permutation resolutions for discrete groups
4. On integral forms for vertex superalgebras associated with affine Lie superalgebras and their modules
5. On the geometry of Certain Non-Basic Affine Deligne-Lusztig Varieties
6. Integrality of Averages of Roots of Unity and Perfect Isometries

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

1. Reduction of Symmetry in Quaternionic Analysis and Invariant Trilinear Forms
2. Components of $V(m\rho) \otimes V(n\rho)$
3. Algorithm to check Maximum Likelihood Estimate Existence for integrated PCA
4. The Hamilton-Jacobi Theory of Deep Learning
5. Open Problem: Separating Geometric and Algorithmic Compression via Cayley-Table Completion
6. Modular invariance of characters of quasi-lisse vertex algebras
7. Corner Quantization of 4D $BF$ Theory

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

1. Two-term tilting complexes of biserial fractional Brauer graph algebras
2. A higher homological approach to the $q$-characters of representations of quantum affine algebras
3. The index of subalgebras and strange coadjoint orbits
4. Nuclear Dimension of Twisted $C^*$-Algebras of Virtually Abelian Groups
5. From geodesic flow to wave dynamics on hyperbolic surfaces
6. Cutoff profiles for conjugacy invariant random walks on symmetric groups

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

1. Quasi-abelian quotients in extriangulated categories
2. Relations between categorifications of higher-dimensional type $A$ cluster combinatorics
3. Gorenstein flat-cotorsion modules over tensor rings
4. On the Faithful Projective Representations of Finite Groups and their Minimal Dimension
5. Motivic Segre classes of Schubert cells and the connective formal group law
6. Equivariant Maximal Cohen-Macaulay sheaves on the minimal orbit closures
7. Absolutely indecomposable quasi-parabolic $G$-bundles and the multiplicity of irreducible characters
8. Locally anti-blocking $\mathbf{g}$-polytopes for flow polytopes
9. Representations of shifted twisted quantum affine algebras
10. Residual regularity in tensor triangular geometry

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

1. Extended Module Categories in Higher Cluster Tilting Theory
2. Lie's classification of finite dimensional algebras of Vector Fields in C^N
3. Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation
4. Factorizations, classifying complements problem and deformation maps for Lie-Yamaguti algebras
5. Quiver Hecke--Clifford superalgebras and R-matrices
6. The formal degree conjecture for groups over local function fields
7. On the Common Generalization of Gentle Algebras and Framed Directed Acyclic Graphs
8. Universality theorems for generalized splines
9. A Nilpotence Theorem for Rational Rigid 2-Rings of Moderate Growth
10. Codegrees of Irreducible Characters of VZ and Camina $p$-Groups
11. Multivariate V-filtrations and the Strong Monodromy Conjecture for hyperplane arrangements
12. Difference $2$-algebras and difference $A_\infty$-algebras
13. Classification of objects in the singularity categories of rational double points in arbitrary characteristics
14. Elliptic Generalization of Cherednik-Macdonald-Mehta identities
15. Certifying Arithmeticity for Two Degree-Six Symplectic Hypergeometric Monodromy Groups
16. Semiorthogonal decompositions for stacks
17. Proxy smallness meets $t$-structures

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

1. Real 2-blocks in quasi-simple groups
2. Isotropic Meta Kazhdan-Lusztig Combinatorics II: Isomorphism to the generalised Khovanov arc algebra
3. What is the Geometric Langlands Correspondence about?
4. Complex Representations of Groups and Involutions of its Automorphisms
5. Quasi-Poisson varieties from double quasi-Poisson algebras in types $B,C,D$
6. On reciprocal characters and the quantum affine Schur-Weyl duality
7. Silting-discrete graded path algebras
8. Any-Dimensional Invariant Universality

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

1. Categorical Lusztig cycles and weave schobers
2. Subnormalizers and character correspondences in $p$-solvable groups
3. The Finite Length Property of the Rado Graph and Friends
4. Algebraic and analytic Brauer groups of homogeneous spaces
5. Aldous-type Spectral Gaps in Generalized Symmetric Groups
6. Twisted Frobenius-Schur Indicators and Character Degree Sums in Dihedral Groups
7. Shading A-polynomials via huge representations of $U_q(\mathfrak{su}_N)$
8. Two remarks on decomposition numbers of standard modules for quantum affine $\mathfrak{sl}_2$
9. A Generalization of $\Delta$U Rings

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

1. Tilting pairs and Wakamatsu tilting pairs of subcategories over cleft extensions
2. Presilting sequences for 0-Auslander extriangulated categories
3. Cuspidal character sheaves on graded exceptional Lie algebras: stable gradings
4. A Differentiable Measure of Algebraic Complexity: Provably Exact Discovery of Group Structures
5. Dual Affine Robinson-Schensted Correspondence
6. Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 4: contribution of non-elliptic parts
7. Mirror Symmetry of the Affine Toda Systems

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

1. On geometrically reductive tensor categories
2. $K$-theoretic Hall algebras and Coulomb branches
3. A categorification of Kauffman states for planar graphs
4. A Note On The Lie-Amaldi Classification
5. Haiman's Conjecture and Springer's Representations
6. Quantum Troesch complex
7. Reduction and inverse-reduction functors I: standard $\mathsf{V^k}(\mathfrak{sl}_2)$-modules
8. Tensor triangular geometry -- Notes for an Oberwolfach Seminar

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

1. Quasi-Poisson Modules and Harish-Chandra $\bs{AD}$-Modules
2. Quasi-admissible, raisable nilpotent orbits and covering Barbasch-Vogan duality
3. Representation theory of the real Gelfand order and real Harish-Chandra modules for $\mathsf{SL}_2(\mathbbm{R})$
4. Coupled double Poisson brackets
5. Non-admissibility of some universal supersingular representations
6. Recursive structures of molecules and cells in Gelfand $S_n$-graphs
7. Duality for dormant opers of classical types B and C
8. Separability for relative extensions of object unital strongly groupoid graded rings
9. Embedding of pseudotensor category

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

1. Complex Weyl correspondence and harmonic representation of $SU(p,q)$
2. Local newforms for generic representations of $p$-adic ${\rm SO}_{2n+1}$: Reduction
3. On the Face Map of the Admissible Set With Iwahori Level
4. Multicritical Scaling Limit of Shifted Schur Measure
5. A category of graded matrix factorizations of a deformed polynomial associated to the $A_{\mu}$-singularity
6. Restricted quantum groups as graded Hopf algebras
7. Non-combinatorial involutive braidings: the quantum algebra $\mathfrak{gl}_{k,m}$

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

1. Spherical Twists for Gorenstein Orders and $G$-Hilb
2. Chains of affine standard Lyndon words
3. Linear representations of manifolds
4. Anchored Dyck Paths
5. Sphericalization and the Universal Spherical Adjunction
6. Complete simplicial fans, Stanley--Reisner rings, and equivariant h-polynomials

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

1. On quandle representations
2. On the additivity of projective presentations of maximal rank
3. Majorization Inequalities from Logarithmic Convexity
4. Eventual sign coherence
5. Affine Yangians as Limits of Quantum Toroidal Algebras
6. Temperley-Lieb Immanants of Ribbon Decomposition Matrices
7. Diagrammatic technique for Vogel's universality
8. Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups
9. Double shortcuts of standard hypercube decompositions
10. Quiver varieties and dual canonical bases
11. Graphs of Hecke operators in mixed ramification

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

1. Balanced subsets in root systems
2. Representations of Hecke-Clifford superalgebras at roots of unity
3. On quiver skew braces, their ideals and products
4. Alperin's Main Problem of Block Theory
5. Conjugacy of Isometries in Real Orthogonal Groups
6. Oversmoothing as Representation Degeneracy in Neural Sheaf Diffusion
7. K-theory of Gieseker variety and type A cyclotomic Hecke algebra

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

1. Young tableau descriptions for the polyhedral realizations of crystal bases in type $A_n$
2. Semisimplicity Criteria for algebras with a Jones Basic Construction
3. BGG resolutions, Koszulity, and stratifications, part II: the Jacobi-Trudi algebra
4. A reciprocity theorem of Robinson-Benson-Webb for finite-dimensional symmetric algebras
5. Hecke monoids, their homomorphisms and parabolicity
6. Middle convolution for Lie algebra representations
7. Convergence of orbital integrals on unitary groups in positive characteristic
8. Fractal phenomenon in $c$- and $g$-vectors of the Markov quiver
9. Proper modules over Ginzburg dg algebras and compact Fukaya categories of plumbings
10. Affine $\mathrm{i}$quantum groups and Steinberg varieties of type C, II
11. Flip of lattices
12. Two-dimensional Virasoro algebras
13. Parafermionizing the Monster

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

1. On the refined local Langlands conjecture for discrete $L$-parameters of inner forms of quasi-split disconnected real reductive groups
2. Limits and colimits in silting theory with applications to the wall and chamber structure of an algebra
3. Virasoro extensions for diffeomorphisms with breaks

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

1. Kernel of Scott modules and Brauer indecomposability
2. Distribution of spin norm along pencils: the $Sp(p, q)$ case
3. A Sugawara-Legendre mechanism for the hyperelliptic Heisenberg algebra
4. A Microlocal Description of Aubert-Zelevinsky Duality on Unipotent $L$-Parameters
5. Root systems constructed by folding of the extended Dynkin diagrams
6. Equivariant version of the characteristic quasi-polynomials of root systems

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

1. Super Krawtchouk Polynomials via Lie Superalgebras
2. Higher-level affine wreath product algebras
3. Zeros of characters and orders of elements in finite groups
4. Classification of the irreducible ordinary modules for affine vertex operator superalgebras
5. On the semisimplicity and Schur elements of (super)symmetric superalgebras
6. A Pinned Local Langlands Correspondence for Depth-Zero Supercuspidal Representations
7. Faithful linear and relational representations of diagram categories and monoids

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

1. Pinned Jordan Decomposition of Characters and Depth-Zero Hecke Algebras
2. A connection between minimal nilpotent orbits of types A and D via Hamiltonian reduction
3. A duality for definable subcategories and its application to torsion classes
4. Growth rates of indecomposable summands in tensor powers of representations of quivers
5. Characteristic-free approaches around Yu's construction
6. Additive categorification of the monoidal $\Lambda$-invariant
7. Classification of irreducible Harish-Chandra modules over extended Divergence-zero Lie algebras
8. Central series of cocommutative Hopf braces

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

1. Cohomological Maschke's Theorem for Generalized Digroups
2. A partial dictionary between universal central extensions and orthogonal polynomials in the superelliptic Krichever--Novikov setting
3. Induced Representations in Cooperative Games with Homogeneous Groups of Players
4. Relative braid group symmetries on quantum supersymmetric pairs of type sAIII
5. Deligne-Lusztig varieties whose canonical divisors have negativity

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

1. The Dual Canonical Basis in the Spin Representation via the Temperley-Lieb Algebra
2. On the action of Bender-Knuth generators of cactus group on the set of short semi-standard Young tableaux
3. Scissors automorphism groups II: Solomon-Tits theorems
4. A Geometric Interpretation of Generalized Hurwitz--Radon Numbers Defined by Kannaka--Tojo
5. Curves on surfaces and moduli of associative algebras
6. Report on $AS$-Gorenstein Hopf algebras

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

1. Asymptotic Vanishing of Stiefel--Whitney Classes for $\mathrm{GL}_n(\mathbb{F}_q)$
2. From finite to infinite length modules over tame hereditary algebras
3. Lie bialgebras constructed from Zinbiel bialgebras and Leibniz bialgebras
4. On the Hereditariness of the Representations of Thread Quivers
5. Oscillators from non-semisimple walled Brauer algebras

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

1. Unitary representations and von Neumann's continuous geometries
2. On simple transposed Poisson algebras
3. The dynamical algebra of the generic superintegrable model on the two-sphere
4. Quantum Flat Connections, KZ equations, and Integrability
5. Metrics on triangulated categories and restrictions of (co)-$t$-structures

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

1. The category of Whittaker modules over the Cartan Type Lie algebra $\bar{S}_2$
2. The local Langlands correspondence of essentially unipotent supercuspidal representations for disconnected reductive groups
3. Stability of Multiplicities in Symmetry Breaking: The sl_2 Case
4. $B'$-orbits on flag varieties and symmetry breaking
5. Chebyshev quotients, Demazure multiplicities, and Dyck-path models
6. Level-rank dualities and moving vectors
7. Representations of Super Yangians with Gelfand-Tsetlin bases
8. Faithful perversities
9. Atom spectra of symmetric monoidal abelian categories and classification of subcategories
10. Lie pairs and formal Lie groups
11. The coordinate ring of the universal centralizer via Demazure operators
12. Reciprocity and the Maslov Phase
13. Partition division maps, symmetric functions and positivity
14. Liouville Blocks from Spectral Networks
15. Derivations on the triplet $W$-algebras with $\mathfrak{sl}_2$-symmetry

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

1. The coloured mutation class of $\mathbb{D}_n$- quivers and their application to $m$-cluster tilted algebras
2. Chains of model structures arising from cotorsion pairs on extriangulated categories
3. Super-Chevalley Restriction and Relative Lie Algebra Cohomology over the 2|3 Algebra
4. The Main Problem of Block Theory: Picky Elements and Subnormalizers
5. On classical doubling method gamma factors for certain depth zero representations
6. Core abaci and Diophantine equations I: fundamental weight
7. The Cutoff Profile for Random Transpositions on Repeated Cards in the Full Range of Parameters
8. A representation-theoretic interpretation of the Schur expansion of two-row genomic Schur functions

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

1. Irreducible representations of conjugacy quandles
2. Stability of Branching Multiplicities for Orthogonal Gelfand Pairs
3. Degeneration order of $3\times 3$ nilpotent matrix tuples
4. Twisted traces and quantization of moduli stacks of 3d $\mathcal{N}=4$ Chern-Simons-matter theories
5. Exceptional poles of archimedean Rankin-Selberg L-functions for principal series representations of GL(n,R)
6. Asymptotic behaviour of analytic torsion and cohomological torsion for $\mathbb{Q}$-rank $1$ arithmetic groups

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

1. Lectures on singularity categories
2. Strong factorization theorem for smooth vectors of exponential solvable Lie group representations
3. Quantization of nilpotent coadjoint $GL_N$-orbit closures in positive characteristics
4. The Representation Type of the Descent Algebras
5. Lusztig constants and endoscopy
6. Twisted Kazhdan-Lusztig conjecture for $p$-adic general linear group
7. Orthosymplectic quantum groups revisited
8. Representation growth of quasi-semisimple profinite groups
9. On the induction functor from group algebras to distribution algebras

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

1. Koszul duality for quadratic monomial algebras
2. Multivariable Vandermonde determinants, amalgams of matrices and Specht modules
3. Representation Cohomology of a Small Category
4. Unitary highest weight modules for $\mathfrak{su}(p, q)$ and $\mathfrak{so}^{*}(2n)$ with fixed integral infinitesimal character
5. Almost finitary birepresentation theory and applications to affine Soergel bimodules
6. Universal $2$-parameter $\mathcal{N}=2$ supersymmetric $\mathcal{W}_{\infty}$-algebra
7. Quantum Super Littlewood Correspondences
8. Extensions of inertial blocks
9. On the cohomology of finite tensor categories
10. Trivial extensions of Koszul Artin-Schelter regular algebras

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

1. Kazhdan-Lusztig Basis and Optimization
2. Ore's theorem for thick subcategories
3. On Universal Virtual and Welded Braid Groups and Their Linear Representations
4. Verma Bases and Kashiwara-Nakashima Tableaux of $\mathfrak{sp}_4$
5. Verma Bases for finite dimensional Representations of the orthosymplectic Lie superalgebra $\mathfrak{spo}(4|1)$
6. Computing the Cousin-Zuckerman Resolution and the Lusztig-Vogan Bijection
7. Fractionally Calabi-Yau algebras and cluster tilting

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

1. A Non-graded Koszul Duality and Its Applications
2. Graded characters, demazure multiplicities, and chebyshev polynomials
3. Notes on Chevalley Groups and Root Category III: the Region of Total Positivity
4. Permutation, stabilization and decomposition
5. Pointwise character bounds for $\mathrm{SU}(3)$
6. The interval neighborhoods in the real Grothendieck groups
7. Homological Aspects of Separable Extensions of Triangulated Categories
8. The Reverse Tableaux: a Gateway to the Surjectivity of the Component Map
9. Simple modules over truncated current Lie algebras of the Witt algebra
10. A remark on an integral structure of the imperfect coefficient ring of $(\varphi,\Gamma)$-modules
11. On quantum functionals for higher-order tensors
12. Kernel-Preserving Dynamics and Symmetry Classification for Synchronization Subspaces

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

1. $D$-bialgebras, dendrification and embeddings into AWB of almost Poisson algebras
2. Soergel calculus for monodromic Hecke categories
3. Matsuki duality for loop groups
4. Wedderburn decomposition of the rational group algebras of $\operatorname{SL}_2(q)$ and $\operatorname{PSL}_2(q)$
5. On Word Representations and Embeddings in Complex Matrices
6. Masures associated with split Kac--Moody groups over valued fields
7. Chevalley property of module-finite Hopf algebras and discriminant ideals
8. Universal dualities for Wilson loops in lattice Yang-Mills
9. Multisymmetric functions on eventually constant cyclic graphs