Local-global compatibility for l=p, I
Number Theory
2011-05-12 v1
Abstract
We prove the compatibility of the local and global Langlands correspondences at places dividing l for the l-adic Galois representations associated to regular algebraic conjugate self-dual cuspidal automorphic representations of GL_n over an imaginary CM field, under the assumption that the automorphic representations have Iwahori-fixed vectors at places dividing l and have Shin-regular weight.
Cite
@article{arxiv.1105.2240,
title = {Local-global compatibility for l=p, I},
author = {Thomas Barnet-Lamb and Toby Gee and David Geraghty and Richard Taylor},
journal= {arXiv preprint arXiv:1105.2240},
year = {2011}
}
Comments
26 pages