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Stratifying integral representations of finite groups

Ponente: Tobias Barthel
Institución: Instituto Max-Planck de Matemáticas en Bonn
Tipo de Evento: Investigación
Cuándo 21/10/2021
de 13:00 a 14:00
Dónde En linea (zoom)
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Classifying all integral representations of finite groups is essentially impossible. In this talk, we will introduce an integral version of the stable module category for a finite group G and then explain how to use it to give a `generic' classification of integral G-representations. Our results globalize the modular case established by Benson, Iyengar, and Krause and relies on the notion of stratification in tensor triangular geometry developed in joint work with Heard and Sanders. Time permitting, I will discuss some further applications.