Automorphy lifting for residually reducible l-adic galois representations


Type
Article
Change log
Authors
Thorne, JA 
Abstract

In this paper we prove new automorphy lifting theorems for l-adic Galois representations over CM (by definition, a CM field is an imaginary quadratic extension of a totally real number field)fields satisfying a self-duality hypothesis. The main novelty is that we can prove lifting results for Galois representations which are residually reducible. This paper can therefore be viewed as a sequel to [Tho12], where we treated the residually irreducible case. However, there are a number of serious new obstacles

Description
Keywords
4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, 49 Mathematical Sciences
Journal Title
Journal of the American Mathematical Society
Conference Name
Journal ISSN
0894-0347
1088-6834
Volume Title
28
Publisher
American Mathematical Society
Rights
All rights reserved