Algebra/Topology seminar by Jesper Grodal

Title: Endotrivial modules for finite groups via homotopy theory

Abstract: The Picard group of the stable module category of kG-modules, for G a finite group and k a field of characteristic p, is called the group of endotrivial modules. Calculating this group has been a long-running quest in modular representation theory. My talk will start with a survey of the history of this problem, and then explain how homotopy theory can be brough into play.