Speaker：Bin Shu（East China Normal University）

Time：2022-05-05, 09:00

Location：Tencent Meeting ID：640804118（Password:2022）

Abstract:

In positive characteristic, representations of reductive Lie algebras are not understood very well. So far lots of basic problems have been neither solved nor understood. In this talk, I will introduce some advances in this fields. In particular, I will give an account of the role of nilpotent orbits therein, and introduce our recent works in the fields and related topics jointly with Y.Li, Y.Yao，Y.Zeng and so on, including:

(1) partial answers to our support variety conjecture.

(2) Partial answers to Friedlander-Parshall’s question.

(3) Centers of finite W-algebras and Azumaya property.

(4) Solutions of regular/subregular nilpotent irreducible modules and realizations for An with p | n+1 while  the solutions when p ∤ n+1 are due to Friedlander-Parshall (1988) and Jantzen (1999) respectively.