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
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Description

Orateur(s) Go YAMASHITA - Toyota Central R\&D Labs, Inc.,
Titre The automorphy lifting and integral $p$-adic Hodge theory
Date03/03/2011
Horaire14:00 à 15:00
RésumeWe explicitely construct an analytic family of n-dimensional crystalline representations by using Wach modules. This is a generalization of the result by Berger, Li and Zhu. We show that a universal deformation ring related with the above constructions is connected, by Kisin's method. This yeilds automorphy lifting theorem and potential automorphy theorem, in which the condition at $p$ is weakened. This is a joint work with S. Yasuda (RIMS, Kyoto) based on speaker's previous work.
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