Geometry Seminar - Abstracts


Tuesday 15 November 2016, 16:00 - 17:00 in HG00.308
Tyrone Crisp (MPIM Bonn)
Parabolic restriction of tempered representations


Parabolic induction, or the formation of princpal series, is one of the main sources of representations of reductive groups. For smooth representations of p-adic reductive groups, the functor of parabolic induction admits an obvious left adjoint which, by a remarkable theorem of Bernstein, is also a right adjoint. I will present a conjectural analogue of this "second adjoint theorem" for tempered representations of real reductive groups, and outline a proof for the group SL(2,R).

This is based on joint work with Pierre Clare, Nigel Higson and Robert Yuncken.

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