Strong local-global compatibility in the p-adic Langlands program for U(2)
Number Theory
2014-06-10 v1
Abstract
We prove that certain Galois-isotypic parts of the completed cohomology group for U(2) can be written as a completed tensor product of a representation coming from the p-adic Langlands correspondence for and a representation arising via the local Langlands correspondence in famillies of Emerton and Helm.
Cite
@article{arxiv.1406.1828,
title = {Strong local-global compatibility in the p-adic Langlands program for U(2)},
author = {Przemyslaw Chojecki and Claus Sorensen},
journal= {arXiv preprint arXiv:1406.1828},
year = {2014}
}