Statut | Confirmé |
Série | MATH-IHES |
Domaines | hep-th |
Date | Mercredi 6 Juin 2018 |
Heure | 10:30 |
Institut | IHES |
Salle | Centre de conférences Marilyn et James Simons |
Nom de l'orateur | Templier |
Prenom de l'orateur | Nicolas |
Addresse email de l'orateur | |
Institution de l'orateur | Cornell University |
Titre | On the Ramanujan conjecture for automorphic forms over function fields |
Résumé | Let G be a reductive group over a function field of large enough characteristic. We prove the temperedness at unramified places of automorphic representations of G, subject to a local assumption at one place, stronger than supercuspidality. Such an assumption is necessary, as was first shown by Saito-Kurokawa and Howe-Piatetskii-Shapiro in the 70's. Our method relies on the l-adic geometry of Bun_G, and on trace formulas. Work with Will Sawin. |
Numéro de preprint arXiv | |
Commentaires | Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo |
Fichiers attachés |
Pour obtenir l' affiche de ce séminaire : [ Postscript | PDF ]
|
[ English version ] |