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SUMMARY:Lusztig's conjecture as a moment graph problem - Fiebig\, P (Freib
 urg)
DTSTART:20090623T103000Z
DTEND:20090623T113000Z
UID:TALK18873@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:To any root system we associate a labelled\, partially ordered
  graph and a sheaf theory on the graph with coefficients in an arbitrary f
 ield k. An extension property then leads to the definition of a certain un
 iversal class of sheaves\, the Braden-MacPherson sheaves. We formulate a c
 onjecture about the multiplicity of their stalks. This conjecture implies 
 Lusztig's conjecture on the irreducible characters of the simply connected
  algebraic group over k associated to the root system. Finally we list the
  proven instances of the conjecture.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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