Open Collections

Rank varieties for modular representations of finite groups

Banff International Research Station for Mathematical Innovation and Discovery

The focus of my talk will be on the representation theory of a finite group over a field whose characteristic divides the order of the group. Typically, in this case the indecomposable representations cannot be classified. Over the past four decades, various techniques have been developed to study these modular representations. One such is the theory of rank varieties for elementary abelian groups introduced by Jon Carlson, and developed for general finite groups, and even finite group schemes, by Friedlander and Pevtsova. My plan is to give an introduction to some of these ideas.

Mathematics; Operator theory; Group theory and generalizations; Functional analysis

video/mp4

Author affiliation: University of Utah

2019-09-30

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/71800

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/