Séminaires : Séminaire Groupes Réductifs et Formes Automorphes

Equipe(s) : fa, tn,
Responsables :Alexis Bouthier, Cong Xue
Email des responsables : alexis.bouthier@imj-prg.fr, cong.xue@imj-prg.fr
Salle :
Adresse :

Orateur(s) Kartik PRASANNA - University of California et Université Paris-Nord,
Titre Nonvanishing of L-functions mod p
Horaire14:00 à 15:00
RésumeLet E be an elliptic curve over Q. A theorem of Waldspurger asserts that the L-function of some quadratic twist of E is nonzero at the center. I will fornulate a conjectural mod p analog of this theorem and explain some related results that are obtained by studying the p-adic properties of the Shimura correspondence. (For those who were at the AAG meeting in El Escorial, this will be a souped up version of my talk there.