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SUMMARY:Reduction Theorems for Generalised Block Fusion Systems - Patrick 
 Serwene (Technische Universität Dresden)
DTSTART:20220531T101500Z
DTEND:20220531T111500Z
UID:TALK174992@talks.cam.ac.uk
DESCRIPTION:One of the main problems in the theory of fusion systems is th
 e conjecture whether a fusion system arises in the form of a finite group 
 if and only if it arises in the form of a p-block of a finite group. A cat
 egory\, called generalised block fusion systems\, plays an important role 
 in reduction theorems related to this conjecture. We generalise several ke
 y results for block fusion systems to generalised block fusion systems and
  apply one of these results to extend a theorem by Cabanes about the non-e
 xoticity of fusion systems of unipotent blocks and discuss our strategy to
  prove the conjecture for fusion systems of blocks of finite groups of Lie
  type.
LOCATION:Seminar Room 2\, Newton Institute
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