プレプリどんどん: math.RT

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/2026-09-07/

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

arXiv math.RTの新着論文17本をご紹介します。

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

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/2026-09-03/

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

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/2026-09-02/

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

arXiv math.RTの新着論文33本をご紹介します。

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

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/2026-08-31/

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

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/2026-08-28/

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

arXiv math.RTの新着論文6本をご紹介します。

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

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/2026-08-26/

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

arXiv math.RTの新着論文20本をご紹介します。

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