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 :

Orateur(s) Florian HERZIG - Institute for Avanced Studies, Princeton,
Titre Weights in a Serre-type conjecture for $U(3)$
Horaire10:30 à 11:30
RésumeWe consider a generalisation of Serre's conjecture for irreducible, conjugate self-dual Galois representations $\rho : G_F \rightarrow GL_3(\overline{\mathbb{F}_p})$, where $F$ is a CM field in which $p$ splits completely. We previously gave a conjecture for the possible Serre weights of $\rho$. If $\rho$ is locally irreducible at $p$ and modular of a (very) generic Serre weight, we show that the set of generic Serre weights of $\rho$ coincides precisely with the conjectural set. This is joint work with Matthew Emerton and Toby Gee.