From UW-Math Wiki
Revision as of 21:14, 11 January 2016 by Srostami (talk | contribs)
Jump to navigation Jump to search

Return to NTS Spring 2016

Feb 04

Shamgar Gurevich
Low Dimensional Representations of Finite Classical Groups

Group theorists have established many formulas that express interesting properties of a finite group in terms of sums of characters of the group. An obstacle to applying these formulas is lack of control over the dimensions of representations of the group. In particular, the representations of small dimension tend to contribute the largest terms to these sums, so a systematic knowledge of these small representations could lead to proofs of some of these facts. This talk will discuss a new method for systematically constructing the small representations of finite classical groups. I will explain the method with concrete examples and applications. This is part from a joint project with Roger Howe (Yale).