Surconvergence, ramification et modularité

Vincent Pilloni; Benoît Stroh

Surconvergence, ramification et modularité

Translated title of the contribution: Overconvergence, ramification and modularity

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

Research output: Contribution to journal › Article › peer-review

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.

Translated title of the contribution	Overconvergence, ramification and modularity
Original language	French
Pages (from-to)	195-266
Number of pages	72
Journal	Asterisque
Volume	2016-January
Issue number	382
Publication status	Published - 1 Jan 2016
Externally published	Yes

Cite this

@article{73322da11a4c4165913970a136043535,

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.",

author = "Vincent Pilloni and Beno{\^i}t Stroh",

note = "Publisher Copyright: {\textcopyright} Ast{\'e}risque 382, SMF 2016.",

year = "2016",

month = jan,

day = "1",

language = "Fran{\c c}ais",

volume = "2016-January",

pages = "195--266",

journal = "Asterisque",

issn = "0303-1179",

number = "382",

}

TY - JOUR

T1 - Surconvergence, ramification et modularité

AU - Pilloni, Vincent

AU - Stroh, Benoît

PY - 2016/1/1

Y1 - 2016/1/1

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.

M3 - Article

AN - SCOPUS:85009223679

SN - 0303-1179

VL - 2016-January

SP - 195

EP - 266

JO - Asterisque

JF - Asterisque

IS - 382

ER -

Surconvergence, ramification et modularité

Abstract

Fingerprint

Cite this