Automorphy lifting for residually reducible l-adic Galois representations, II

被引：6

作者：

Allen, Patrick B. ^{[1
]}

Newton, James ^{[2
]}

Thorne, Jack A. ^{[3
]}

机构：

[1] McGill Univ, Dept Math & Stat, 805 Sherbrooke St West, Montreal, PQ H3A 0B9, Canada

[2] Kings Coll London, Dept Math, London WC2R 2LS, England

[3] Univ Cambridge, Dept Pure Math & Math Stat, Wilberforce Rd, Cambridge CB3 0WB, England

来源：

COMPOSITIO MATHEMATICA | 2020年 / 156卷 / 11期

基金：

欧洲研究理事会;

关键词：

Galois representations; automorphy lifting theorems;

D O I：

10.1112/S0010437X20007484

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We revisit the paper [Automorphy lifting for residually reducible l-adic Galois representations, J. Amer. Math. Soc. 28 (2015), 785-870] by the third author. We prove new automorphy lifting theorems for residually reducible Galois representations of unitary type in which the residual representation is permitted to have an arbitrary number of irreducible constituents.

引用

页码：2399 / 2422

页数：24

共 50 条

[1] AUTOMORPHY LIFTING FOR RESIDUALLY REDUCIBLE l-ADIC GALOIS REPRESENTATIONS
Thorne, Jack A.
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 28 (03) : 785 - 870
[2] AUTOMORPHY FOR SOME l-ADIC LIFTS OF AUTOMORPHIC MOD l GALOIS REPRESENTATIONS. II
Taylor, Richard
PUBLICATIONS MATHEMATIQUES DE L'IHES, NO 108, 2008, 108 (108): : 183 - 239
[3] Automorphy for some l-adic lifts of automorphic mod l Galois representations. II
Richard Taylor
Publications mathématiques, 2008, 108 : 183 - 239
[4] Automorphy for some l-adic lifts of automorphic mod l Galois representations
Laurent Clozel
Michael Harris
Richard Taylor
Publications mathématiques, 2008, 108 : 1 - 181
[5] AUTOMORPHY FOR SOME l-ADIC LIFTS OF AUTOMORPHIC MOD l GALOIS REPRESENTATIONS
Clozel, Laurent
Harris, Michael
Taylor, Richard
PUBLICATIONS MATHEMATIQUES DE L'IHES, NO 108, 2008, 108 (108): : 1 - 181
[6] Automorphy and irreducibility of some l-adic representations
Patrikis, Stefan
Taylor, Richard
COMPOSITIO MATHEMATICA, 2015, 151 (02) : 207 - 229
[7] A connectedness criterion for l-adic Galois representations
Larsen, M
Pink, R
ISRAEL JOURNAL OF MATHEMATICS, 1997, 97 (1) : 1 - 10
[8] Lifting and automorphy of reducible mod p Galois representations over global fields
Najmuddin Fakhruddin
Chandrashekhar Khare
Stefan Patrikis
Inventiones mathematicae, 2022, 228 : 415 - 492
[9] Automorphy of some residually dihedral Galois representations
Thorne, Jack A.
MATHEMATISCHE ANNALEN, 2016, 364 (1-2) : 589 - 648
[10] Automorphy of some residually dihedral Galois representations
Jack A. Thorne
Mathematische Annalen, 2016, 364 : 589 - 648

← 1 2 3 4 5 →