Automorphy of some residually dihedral Galois representations
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Thorne, J. (2015). Automorphy of some residually dihedral Galois representations. 364 589-648. https://doi.org/10.1007/s00208-015-1214-z
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.
During the period this research was conducted, Jack Thorne served as a Clay Research Fellow.
External DOI: https://doi.org/10.1007/s00208-015-1214-z
This record's URL: https://www.repository.cam.ac.uk/handle/1810/248069