Virtual Workshop on Recent Developments in Geometric Representation Theory

The Picard group of the stable module category of a finite group

The Picard group of the stable module category of a finite group plays a role in many parts of modular representation theory. It was calculated when the group is an abelian $p$-group, by pioneering work of Dade in the 1970's, and a classification for all $p$-groups was obtained by Carlson-Thevenaz in the early 2000's in a series of works. In my talk I'll explain how to use methods from homotopy theory and higher algebra to describe this Picard group for an arbitrary finite group $G$. Part of this talk is joint work with Tobias Barthel and Joshua Hunt.

Date & Time

November 17, 2020 | 9:30am – 10:30am

Location

Wolfensohn Hall and Remote Access

Affiliation

University of Copenhagen; Member, School of Mathematics

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