Séminaires : Séminaire Groupes Réductifs et Formes Automorphes

Equipe(s) : fa, tn,
Responsables :Alexis Bouthier, Benoît Stroh
Email des responsables : alexis.bouthier@imj-prg.fr, benoit.stroh@imj-prg.fr
Salle :
Adresse :

Orateur(s) Masataka CHIDA - Kyoto,
Titre Anticyclotomic p-adic L-functions for modular forms
Horaire10:45 à 11:45
RésumeThis is a joint work with Ming-Lun Hsieh. In this talk, we will discuss on anticyclotomic Iwasawa theory for modular forms. First, we will generalize a construction of Bertolini-Darmon's p-adic L-functions for higher weight modular forms by interpolating the toric period integrals essentially. Then the interpolation property is explained by Waldspurger's result. We also discuss the vanishing of mu-invariant of the p-adic L-functions, which is a generalization of a result of Vatsal.