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NT & AG Seminar: Sandeep Varma "Bernstein projectors for SL(2)" | Einstein Institute of Mathematics

NT & AG Seminar: Sandeep Varma "Bernstein projectors for SL(2)"

Date: 
Wed, 07/08/201914:00-15:00
Location: 
Ross 70
Let G be the group SL(2) over a finite extension F of Q_p, p odd. For a fixed r ≥ 0, we identify the elements of the Bernstein center of G supported in the Moy-Prasad G-domain G_{r^+}, by characterizing them spectrally.
We study the behavior of convolution with such elements on orbital integrals of functions in C^∞_c(G(F)), proving results in the spirit of semisimple descent.
These are ‘depth r versions’ of results proved for general reductive groups by J.-F. Dat, R. Bezrukavnikov, A. Braverman and D. Kazhdan.