Hauptseminar Modulformen

Dr. Ahmed Moussaoui, Institut de Mathématiques de Jussieu, Paris

Let G be a connected reductive group over a p-adic field. The Bernstein decomposition of Irr(G), the set of irreducible representations of G, permits to understand irreducible representations through parabolic induction of an irreducible supercuspidal representation of a Levi subgroup of G. On the other hand, the local Langlands correspondence gives a decomposition of Irr(G) into finite sets, the so-called L-packets. In this talk, assuming that G is split, we give a conjecture of the Langlands parameters of supercuspidal representations and a construction of a cuspidal support map for enhanced Langlands parameters. We verify this conjecture for the known case, especially for the classical groups and we obtain a Bernstein decomposition of the set of enhanced Langlands parameters.

Mittwoch, den 20. Juli 2016 um 11.15 Uhr c.t. Uhr, in Mathematikon, INF 2015, Seminarraum 4, 3. OG Mittwoch, den 20. Juli 2016 at 11.15 Uhr c.t., in Mathematikon, INF 2015, Seminarraum 4, 3. OG

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Dr. Mishra