Minimal modularity lifting for GL2 over an arbitrary number field
Number Theory
2013-07-05 v3 Commutative Algebra
Abstract
We prove a modularity lifting theorem for minimally ramified deformations of two-dimensional odd Galois representations, over an arbitrary number field. The main ingredient is a generalization of the Taylor-Wiles method in which we patch complexes rather than modules.
Cite
@article{arxiv.1209.5309,
title = {Minimal modularity lifting for GL2 over an arbitrary number field},
author = {David Hansen},
journal= {arXiv preprint arXiv:1209.5309},
year = {2013}
}
Comments
8 pages; final version, to appear in Math. Res. Letters