表現論と代数幾何と圏論 - 2026/9/18の論文14本

arXiv math.RTの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-18/ Tachikawa's second conjecture implies the Auslander-Reiten conjecture The Arthur-Packet Support Equality for Real Reductive Groups On the Hiraga-Ichino-Ikeda conjecture on formal degrees for $\mathrm{G_2}$ A Comparison Theorem for Parahoric Character Sheaves A refined multiplication formula in 2-Calabi-Yau Frobenius extriangulated categories Unitary Branching for $\mathfrak{sl}(m\vert n), \mathfrak{osp}(m\vert 2n)$ and $F(4)$ Representations of formal Lie groups and Lie pairs Skein theory and deformations Endoscopic description of the local Langlands correspondence for $\mathrm{G}_2$ Chow Vanishing and Motives of Cluster Varieties Finite groups with a unique real $2$-block The Serre--Hochschild plane of a finite-dimensional algebra Classification of Automorphism Groups of Smooth Cubic Threefolds and Fourfolds Rogers--Ramanujan identities from the geometry of $X^a=Y^b$