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SUMMARY:Parabolic induction and extensions - Julien Hauseux (KCL)
DTSTART:20151103T141500Z
DTEND:20151103T151500Z
UID:TALK61449@talks.cam.ac.uk
CONTACT:Jack Thorne
DESCRIPTION:Let G be a p-adic reductive group. We describe the extensions 
 between admissible smooth mod p representations of G which are parabolical
 ly induced from supersingular representations of Levi subgroups. More prec
 isely\, we determine which extensions do not come from parabolic induction
 . In order to do so\, we partially compute Emerton's delta-functor of deri
 ved ordinary parts on any parabolically induced representation of G. These
  computations work with mod p^n coefficients\, thus some of the results on
  extensions can be lifted in characteristic zero for admissible unitary co
 ntinuous p-adic representations of G.
LOCATION:MR13
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