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SUMMARY:A Plan to Prove Broué's Conjecture - David Craven\, Oxford Univer
 sity
DTSTART:20100226T140000Z
DTEND:20100226T150000Z
UID:TALK22283@talks.cam.ac.uk
CONTACT:Chris Bowman
DESCRIPTION:Broué's conjecture is one of the fundamental conjectures in t
 he representation theory of finite groups\, the most structural of a raft 
 of conjectures relating the representation theory of the group with that o
 f various `local subgroups'\, i.e.\, normalizers of non-trivial p-subgroup
 s. In general there is no plan to tackle it\, but the recent invention of 
 perverse equivalences\, giving an underlying geometric interpretation to t
 he derived equivalences predicted by Broué's conjecture\, has given new i
 mpetus to the subject.\n\nIn this talk I will discuss local representation
  theory\, Broué's conjecture\, perverse equivalences\, and give some of t
 he results that we can get using this new theory. (This is joint work with
  Raphaël Rouquier.)
LOCATION:MR13
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