プレプリどんどん: math.RT

arXiv math.RTの新着論文4本をご紹介します。

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

arXiv math.RTの新着論文4本をご紹介します。

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 $\mathfrak{osp}(2 \vert 2n)$

arXiv math.RTの新着論文11本をご紹介します。

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

arXiv math.RTの新着論文9本をご紹介します。

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

arXiv math.RTの新着論文23本をご紹介します。

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

arXiv math.RTの新着論文7本をご紹介します。

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

arXiv math.RTの新着論文12本をご紹介します。

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

arXiv math.RTの新着論文4本をご紹介します。

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

arXiv math.RTの新着論文15本をご紹介します。

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

arXiv math.RTの新着論文19本をご紹介します。

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