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) Eugen HELLMANN - University of Münster,
Titre p-adic automorphic forms from a categorical p-adic Langlands view
Horaire10:30 à 12:00

It is known - starting with the work of Coleman and Mazur on the eigencurve - that the dual space of (finite slope) overconvergent p-adic automorphic forms can be identified with the global section of a coherent sheaf on a rigid analytic variety, called an eigenvariety. In this talk I will give a conjectural Galois theoretic description of this coherent sheaf in terms of an envisioned categorical p-adic Langlands correspondence (that is inspired by ideas from the geometric Langlands program as well as from the Taylor-Wiles patching method). I will discuss some partial results in the case of
the modular curve.

SalleBuffon - RH04A - 30
AdresseSophie Germain