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)
Dimitar Jetchev - École polytechnique fédérale de Lausanne,
Titre
Euler systems from special cycles on unitary Shimura varieties and arithmetic applications
Date
21/03/2016
Horaire
10:30 à 12:00
Diffusion
Résume
We construct a new Euler system from a collection of special $1$-cycles on certain Shimura $3$-folds associated to $\mathrm
U
(2,1) \times \mathrm
U
(1,1)$ and appearing in the context of the Gan-Gross-Prasad conjectures. We study and compare the action of the Hecke algebra and the Galois group on these cycles via distribution relations and congruence relations obtain adelically using Bruhat-Tits theory for the corresponding buildings. If time permits, we explain some potential arithmetic applications in the context of Selmer groups and the Bloch-Kato conjectures for Galois representations associated to automorphic forms on unitary groups.
Salle
Adresse
© IMJ-PRG
