Weak local-global compatibility in the p-adic Langlands program for U(2)
Number Theory
2013-04-18 v1 Representation Theory
Abstract
Inspired by Emerton's work for GL(2), we study the completed cohomology of the tower of finite sets associated with a definite unitary group in two variables. When p splits (and other technical assumptions are fulfilled), we show that the p-adic local Langlands correspondence for GL(2) (over Q_p) occurs in the cohomology. We give an application to the Fontaine-Mazur conjecture over CM fields.
Cite
@article{arxiv.1304.4817,
title = {Weak local-global compatibility in the p-adic Langlands program for U(2)},
author = {Przemyslaw Chojecki and Claus Sorensen},
journal= {arXiv preprint arXiv:1304.4817},
year = {2013}
}
Comments
26 pages