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 :

Orateur(s) Thanasis BOUGANIS - Universität Heidelberg,
Titre Non abelian $p$-adic $L$-functions and Eisenstein series of unitary groups
Horaire10:30 à 11:30
RésumeThe non abelian Iwasawa Main Conjecture (for a motive $M$ and a $p$-adic Lie extension $G$) predicts a deep relation between an analytic object, a non abelian $p$-adic $L$-function (associated to $M$ and $G$), and an algebraic object, a Selmer group (or complex). The evidences for this Main Conjecture are still modest. Even the existence of the non abelian $p$-adic $L$-function is known mainly when the underlying motive $M$ is that of Tate (thanks to the works of Burns, Hara, Kakde, Kato, Ritter and Weiss). In this talk we will present our work in progress on proving the existence of the non abelian $p$-adic $L$-function for other motives, as for example motives that arise from elliptic curves with CM.