Endotrivial modules for finite groups of Lie type

Nadia Mazza (Lancaster University)

Wednesday 14th February 16:00-17:00 Maths 110

Abstract

Let G be a finite group and k a field of positive characteristic p diving the order of G. An endotrivial kG-module is a finitely generated kG-module which is "invertible" in some suitable sense. Since the late 70s, these modules have been intensely studied in modular representation theory. In this talk, we review the essential background on endotrivial modules, and present some results about endotrivial modules for finite groups of Lie type, obtained jointly with Carlson, Grodal and Nakano.

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