Séminaires : Séminaire Groupes Réductifs et Formes Automorphes

Equipe(s) : fa, tn,
Responsables :Alexis Bouthier, Benoît Stroh
Email des responsables : alexis.bouthier@imj-prg.fr, benoit.stroh@imj-prg.fr
Salle :
Adresse :
Description

Orateur(s) A. A. IVANOV - , Alexander Ivanov - Bonn,
Titre Deligne-Lusztig constructions and special cases of the local Langlands and Jacquet-Langlands correspondences.
Date18/11/2019
Horaire10:30 à 12:00
Résume

For a reductive group G over a local non-archimedean field K one can mimic constructions from the classical Deligne-Lusztig theory by using the loop space functor. In special cases - attached to G = inner form of GLn, and Coxeter elements in the Weyl group - we show that the resulting fpqc-sheaves on algebras over the residue field of K are representable by schemes. Their ℓ-adic cohomology realizes many irreducible supercuspidal representations of G, notably almost all among those whose L-parameter factors through an unramified elliptic maximal torus of G. This gives a purely local, purely geometric and - in a sense - quite explicit way to realize special cases of the local Langlands and Jacquet-Langlands correspondences.

Salle15-25-503
AdresseCampus Pierre et Marie Curie
© IMJ-PRG