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/2026-07-13/

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

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/2026-07-10/

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

arXiv math.RTの新着論文16本をご紹介します。

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 $B$

arXiv math.RTの新着論文5本をご紹介します。

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

arXiv math.RTの新着論文16本をご紹介します。

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

arXiv math.RTの新着論文8本をご紹介します。

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

arXiv math.RTの新着論文13本をご紹介します。

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

arXiv math.RTの新着論文8本をご紹介します。

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

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/2026-06-30/

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

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/2026-06-29/

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