Automorphy of some residually dihedral Galois representations
Change log
Authors
Thorne, Jack A
Abstract
We establish the automorphy of some families of 2-dimensional representations of the absolute Galois group of a totally real field, which do not satisfy the so-called ‘Taylor–Wiles hypothesis’. We apply this to the problem of the modularity of elliptic curves over totally real fields.
Description
Keywords
4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, 49 Mathematical Sciences
Journal Title
MATHEMATISCHE ANNALEN
Conference Name
Journal ISSN
0025-5831
1432-1807
1432-1807
Volume Title
364
Publisher
Springer Science and Business Media LLC
Publisher DOI
Sponsorship
During the period this research was conducted, Jack Thorne served as a Clay Research Fellow.