Automorphy of some residually dihedral Galois representations
Number Theory
2015-04-07 v1
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
Keywords
Cite
@article{arxiv.1504.00994,
title = {Automorphy of some residually dihedral Galois representations},
author = {Jack A. Thorne},
journal= {arXiv preprint arXiv:1504.00994},
year = {2015}
}
Comments
To appear in Mathematische Annalen. arXiv admin note: text overlap with arXiv:1503.03796