Abstract
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.
Funder
National Science Foundation
Subject
Applied Mathematics,General Mathematics
Cited by
7 articles.
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