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) Siyan Daniel LI-HUERTA - Harvard University,
Titre Local-global compatibility over function fields
Date12/06/2023
Horaire10:30 à 12:00
Diffusion
Résume

We present a proof that V. Lafforgue's global Langlands correspondence is compatible with Fargues–Scholze's semisimplified local Langlands correspondence. By globalizing local representations, this has the following consequences: 

・Fargues–Scholze's construction canonically lifts to a non-semisimplified correspondence in characteristic ≥ 5, 

・Genestier–Lafforgue's correspondence agrees with Fargues–Scholze's. 

The proof relies on a formal model for the moduli of local shtukas with multiple legs, which we construct using algebraization theorems for analytic local shtukas.

SalleRH04A
AdresseBuffon
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