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SUMMARY:Local-global conjectures in modular representation theory. - Stefa
 no Sannella\, University of Birmingham
DTSTART:20180126T150000Z
DTEND:20180126T160000Z
UID:TALK99406@talks.cam.ac.uk
CONTACT:Nicolas Dupré
DESCRIPTION:The representation theory of a finite group G over a field F o
 f positive characteristic carries many questions that have not been answer
 ed yet. Most of them can be stated as global/local conjectures: in various
  forms\, they state that the representation theory of G is somehow control
 led by its p-local subgroups. Here we will mostly focus on one of these co
 njectures\, Broué's Abelian Defect Group Conjecture\, which might be cons
 idered as an attempt to give a structural explanation of what is actually 
 connecting G and its local p-subgroups in the abelian defect case. In part
 icular\, we explain how the strategy of looking for a perverse equivalence
  (a specific type of derived equivalence) works successfully in some cases
  and how this procedure is related to some Deligne-Lusztig varieties.
LOCATION:CMS\, MR14
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