Local-global compatibility for l=p, II
Number Theory
2011-05-12 v1
Abstract
We prove the compatibility at places dividing l of the local and global Langlands correspondences for the l-adic Galois representations associated to regular algebraic essentially (conjugate) self-dual cuspidal automorphic representations of GL_n over an imaginary CM or totally real field. We prove this compatibility up to semisimplification in all cases, and up to Frobenius semisimplification in the case of Shin-regular weight.
Cite
@article{arxiv.1105.2242,
title = {Local-global compatibility for l=p, II},
author = {Thomas Barnet-Lamb and Toby Gee and David Geraghty and Richard Taylor},
journal= {arXiv preprint arXiv:1105.2242},
year = {2011}
}
Comments
13 pages