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- Title
On the automorphy of l-adic Galois representations with small residual image With an appendix by Robert Guralnick, Florian Herzig, Richard Taylor and Jack Thorne.
- Authors
Thorne, Jack
- Abstract
We prove new automorphy lifting theorems for essentially conjugate self-dual Galois representations into GLn. Existing theorems require that the residual representation have ‘big’ image, in a certain technical sense. Our theorems are based on a strengthening of the Taylor–Wiles method which allows one to weaken this hypothesis.
- Subjects
GALOIS cohomology; P-adic groups; MATHEMATICS theorems; GALOIS theory; TAYLOR, Richard Lawrence, 1962-; MATHEMATICAL proofs; HYPOTHESIS
- Publication
Journal of the Institute of Mathematics of Jussieu, 2012, Vol 11, Issue 4, p855
- ISSN
1474-7480
- Publication type
Article
- DOI
10.1017/S1474748012000023