学术报告
学术报告:1-cohomology, past, present and future
编辑:发布时间:2016年07月06日

报告人:Professor Leonard Scott

        University of Virginia

报告题目:1-cohomology, past, present and future

报告时间:2016年07月12日16:00

报告地点:海韵数理楼661

摘要:In the early days of Lie theory--of semismple Lie algebras and groups in characteristic 0—there were no 1-cohomology groups with nontrivial irreducible coefficients. That is, though they could be defined, they were all zero. In more modern times, focusing on algebraic groups in characteristic p>0 and finite groups of Lie type, 1-cohomology groups with irreducible coefficients are both highly nontrivial and highly important, playing a key role in the study of maximal subgroups of finite groups in general. I will discuss some recent successes in this theory and further developments in higher cohomology. In addition I will discuss some recent speculations, partly confirmed, heavily involving quantum groups, and with vertex operator algebras possibly playing a role.

学院联系人:林亚南教授

 

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