Nilpotent orbits in modular representations of reductive Lie algebras and related topics
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：舒斌（华东师范大学）
：2022-05-05 09:00
：腾讯会议ID：640804118（密码：2022）
报告人：舒斌（华东师范大学）
时 间：5月5日上午09:00
地 点：腾讯会议ID：640804118（密码：2022）
内容摘要:
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.
个人简介：
舒斌，华东师范大学数学科学学院教授，主要从事李（超）代数与代数（超）群的表示，以及代数群作用下幂零轨道及其相关联的有限W-代数等方面的研究。特别在素特征域李理论与表示论方面完成系列研究工作。 目前承担国家自然科学基金项目。
联系人：余世霖
