%0 Journal Article
%T Weak local-global compatibility in the p-adic Langlands program for U(2)
%A Przemyslaw Chojecki
%A Claus Sorensen
%J Mathematics
%D 2013
%I arXiv
%X 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.
%U http://arxiv.org/abs/1304.4817v1