Weight elimination in two dimensions when $p=2$

Abstract

We prove the `weight elimination' part of the weight part of Serre's conjecture for mod 2 Galois representations for rank two unitary groups, by modifying the results in arXiv:1203.2552 and arXiv:1309.0527.Comment: Adapts arguments from arXiv:1203.2552 and arXiv:1309.052