Séminaires : Séminaire Groupes Réductifs et Formes Automorphes

Equipe(s) : fa, tn,
Responsables :Alexis Bouthier, Francesco Lemma
Email des responsables : alexis.bouthier@imj-prg.fr, francesco.lemma(at)imj-prg.fr
Salle :
Adresse :

Orateur(s) David HELM - ,
Titre The integral Bernstein center and the local Langlands correspondence in families
Horaire09:30 à 10:30
RésumeThe Bernstein center is a commutative ring that plays a role in the smooth representations of p-adic groups that is analogous to role played by the center of the group ring in the representation theory of finite groups. We give some basic structural results for the Bernstein center of the category of smooth l-adic (integral) representations of a p-adic GL(N), and explain the implications of these results for the problem of interpolating the local Langlands correspondence across families of Galois representations.