arXiv math.RTの新着論文18本をご紹介します。

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

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/2026-06-01/

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

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/2026-05-29/

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

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/2026-05-28/

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

arXiv math.RTの新着論文10本をご紹介します。

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

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/2026-05-26/

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

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/2026-05-25/

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

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/2026-05-22/

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

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/2026-05-21/

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

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/2026-05-20/

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