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SUMMARY:The stable module category for infinite groups and some classifica
 tion theorems - Gregory Kendall (University of Manchester)
DTSTART:20240621T133000Z
DTEND:20240621T140000Z
UID:TALK217417@talks.cam.ac.uk
DESCRIPTION:The stable module category is classically defined for finite g
 roups 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 o
 riginally 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 Be
 nson\, Iyengar\, Krause\, and Pevtsova) to these infinite groups.
LOCATION:External
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