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 :
Description

Orateur(s) Chenji Fu - Bonn,
Titre Stability of elliptic Fargues-Scholze L-packets
Date02/06/2025
Horaire10:30 à 12:00
Diffusion
Résume

The local Langlands correspondence conjecturally partitions the irreducible representations of a p-adic group into the so-called L-packets. Such a partition is conjecturally to be characterized by the stability condition, which is proven in many cases (when a construction of the local Langlands correspondence for certain representations is available) using the theory of endoscopy. In this talk, we will show that for elliptic L-parameters, the construction of Fargues-Scholze satisfies the stability condition, without essential use of endoscopy. Using a formula of Hansen--Kaletha--Weinstein, we will reduce the problem of stability to showing equi-distribution properties of the weight multiplicities of highest weight representations of an algebraic group. Our proof of equi-distribution properties might be of independent interest.

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AdresseJussieu
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