Surconvergence, ramification et modularité

Vincent Pilloni; Benoît Stroh

Surconvergence, ramification et modularité

Vincent Pilloni
, Benoît Stroh

CNRS UMR 5669, 'Unité de Mathématiques Pures et Appliquées' and project-team Inria NUMED, Ecole Normale Supérieure de Lyon
Institut Galilée

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We prove a modular lifting theorem for Galois representations of dimension two over totally real fields which are totally odd with zero Hodge-Tate weights. This theorem generalizes a well-known result due to Buzzard and Taylor. It allows us to finish the demonstration of the Artin conjecture for the odd two dimensional Galois representations over totally real fields and to prove new cases of the Fontaine-Mazur conjecture.

Titre traduit de la contribution	Overconvergence, ramification and modularity
langue originale	Français
Pages (de - à)	195-266
Nombre de pages	72
journal	Asterisque
Volume	2016-January
Numéro de publication	382
état	Publié - 1 janv. 2016
Modification externe	Oui

Contient cette citation

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title = "Surconvergence, ramification et modularit{\'e}",

abstract = "We prove a modular lifting theorem for Galois representations of dimension two over totally real fields which are totally odd with zero Hodge-Tate weights. This theorem generalizes a well-known result due to Buzzard and Taylor. It allows us to finish the demonstration of the Artin conjecture for the odd two dimensional Galois representations over totally real fields and to prove new cases of the Fontaine-Mazur conjecture.",

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AU - Stroh, Benoît

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N2 - We prove a modular lifting theorem for Galois representations of dimension two over totally real fields which are totally odd with zero Hodge-Tate weights. This theorem generalizes a well-known result due to Buzzard and Taylor. It allows us to finish the demonstration of the Artin conjecture for the odd two dimensional Galois representations over totally real fields and to prove new cases of the Fontaine-Mazur conjecture.

AB - We prove a modular lifting theorem for Galois representations of dimension two over totally real fields which are totally odd with zero Hodge-Tate weights. This theorem generalizes a well-known result due to Buzzard and Taylor. It allows us to finish the demonstration of the Artin conjecture for the odd two dimensional Galois representations over totally real fields and to prove new cases of the Fontaine-Mazur conjecture.

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Surconvergence, ramification et modularité

Résumé

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