Week starting Monday 15 July 2019
From work of Auslander and Reiten we know that the stable category of maximal Cohen-Macaulay modules over a finite dimensional Gorenstein algebra admits a Serre functor. The talk is devoted to an analogue of Grothendieck's local duality in that context, which is induced by Auslander-Reiten duality and employs the action of Hochschild cohomolgy on the category of maximal Cohen-Macaulay modules. This is based on joint work with Benson, Iyengar, and Pevtsova.
The talk is devoted to the study of modular representations of finite groups. I will start with a historical introduction about representation type, explaining the problem of classifying all representations for a given finite group.
The more modern approach involves cohomological techniques and the derived category. Using group cohomology one is able to provide a stratification for the derived category of any finite group. The beautiful connection with tensor triangular geometry will be discussed as well, at least implicitly.
This is a report on joint work with Benson, Iyengar, and Pevtsova.
About the speaker
Professor Henning Krause is professor of mathematics at Bielefeld University since 2010 and member of the Bielefeld Representation Theory Group (BIREP).