Bonn Topology Group - Abstracts

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Talk

January 13, 2026
Henning Krause (Universität Bielefeld): Stratification of modular representations of finite groups and dualisable objects

Abstract

For a compactly generated triangulated category there is a notion of stratification via the central action of an appropriate cohomology ring. I will explain this concept, also incorporating the tensor-triangulated perspective, and indicate how it works for the stable module category of a finite group. Globally, compact and dualisable objects coincide; so the stable module category is rigid. Locally, the story is more complicated. So for each stratum I will describe its dualisable objects in cohomological terms. All this is based on joint work with Benson, Iyengar, and Pevtsova.

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