中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

表示论讨论班

Speaker: 冯致程 教授（南方科技大学）

Inviter: 聂思安

Language: Chinese

Title：Generalised e-Harish-Chandra theory and generic weights for finite reductive groups

Time&Venue：2025年10月31日（星期五）14:30-15:30 /Zoom会议号: 821 4315 6893 密码: 123456

Abstract: Harish-Chandra theory is a significant tool in Lie theory, such as in the representation theory of Lie groups, Lie algebras and finite reductive groups. In this talk, we will discuss a generalisation of e-cuspidality in the generalised e-Harish-Chandra theory of finite reductive groups, and define the generic weights, which play an analogous role as the weights defined by Alperin in the investigation of the inductive Alperin weight condition for simple groups of Lie type at most good primes. Based on recent joint work with Gunter Malle and Jiping Zhang.