Stratification of integral representations for finite groups

Abstract: We consider representations of finite groups over a commutative noetherian ring and explain a classification of thick and localising tensor ideals via group cohomology. Some focus will be on the definition of the appropriate categories of representations such that the existing machinery can be applied. Another crucial ingredient is the passage to the finite dimensional fibres for any group algebra. This is a report on joint work with Dave Benson, Srikanth Iyengar, and Julia Pevtsova.

representation theory

Audience: researchers in the topic

RA Seminar

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