The weight part of Serre's conjecture for GL(2)
Number Theory
2014-12-23 v2
Abstract
Let p > 2 be prime. We use purely local methods to determine the possible reductions of certain two-dimensional crystalline representations, which we call "pseudo-Barsotti-Tate representations", over arbitrary finite extensions of the p-adics. As a consequence, we establish (under the usual Taylor-Wiles hypothesis) the weight part of Serre's conjecture for GL(2) over arbitrary totally real fields.
Keywords
Cite
@article{arxiv.1309.0527,
title = {The weight part of Serre's conjecture for GL(2)},
author = {Toby Gee and Tong Liu and David Savitt},
journal= {arXiv preprint arXiv:1309.0527},
year = {2014}
}
Comments
41 pages. To appear, Forum of Mathematics, Pi