Potential modularity---a survey
Number Theory
2011-09-13 v2
Abstract
A Spitalfields Day at the Newton Institute was organised on the subject of the recent theorem that any elliptic curve over any totally real field is potentially modular. This article is a survey of the strategy of the proof, together with some history.
Cite
@article{arxiv.1101.0097,
title = {Potential modularity---a survey},
author = {Kevin Buzzard},
journal= {arXiv preprint arXiv:1101.0097},
year = {2011}
}
Comments
Written at the request of the editors of the volume "Nonabelian Fundamental Groups and Iwasawa Theory", a book arising from the six month programme "Non-abelian fundamental groups in arithmetic geometry" at the Isaac Newton Institute in 2009. This (final) version of the paper fixes a few typos and a historical inaccuracy