The stable module category for infinite groups and some classification theorems

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• Gregory Kendall (University of Manchester)
• Friday 21 June 2024, 14:30-15:00
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TRHW02 - International Conference

The stable module category is classically defined for finite groups over a field of positive characteristic and has become a key tool in modular representation theory. We will show how we can define a suitable stable category over a large class of infinite groups. These groups were originally defined by Kropholler and their representation theory is in some sense controlled by the finite subgroups. We will use this to show how to extend various classification theorems known for finite groups (due to Benson, Iyengar, Krause, and Pevtsova) to these infinite groups.

This talk is part of the Isaac Newton Institute Seminar Series series.

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