Parabolic induction and extensions

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• Julien Hauseux (KCL)
• Tuesday 03 November 2015, 14:15-15:15
• MR13.

If you have a question about this talk, please contact Jack Thorne.

Let G be a p-adic reductive group. We describe the extensions between admissible smooth mod p representations of G which are parabolically induced from supersingular representations of Levi subgroups. More precisely, we determine which extensions do not come from parabolic induction. In order to do so, we partially compute Emerton’s delta-functor of derived 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 continuous p-adic representations of G.

This talk is part of the Number Theory Seminar series.

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