Automorphy of some residually dihedral Galois representations

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

To appear in Mathematische Annalen. arXiv admin note: text overlap with arXiv:1503.03796

Cited by in corpus (2)

• Automorphy of some residually S_5 Galois representations
• On the modularity of elliptic curves over a composite field of some real quadratic fields