Serre Weights for U(n)
Number Theory
2014-05-14 v1
Abstract
We study the weight part of (a generalisation of) Serre's conjecture for mod l Galois representations associated to automorphic representations on unitary groups of rank n for odd primes l. Given a modular Galois representation, we use automorphy lifting theorems to prove that it is modular in many other weights. We make no assumptions on the ramification or inertial degrees of l. We give an explicit strengthened result when n = 3 and l splits completely in the underlying CM field.
Cite
@article{arxiv.1405.3014,
title = {Serre Weights for U(n)},
author = {Thomas Barnet-Lamb and Toby Gee and David Geraghty},
journal= {arXiv preprint arXiv:1405.3014},
year = {2014}
}
Comments
23 pages. arXiv admin note: substantial text overlap with arXiv:1106.5586