Mathematical Research Letters

Volume 29 (2022)

Number 3

Weight elimination in two dimensions when $p=2$

Pages: 887 – 902

DOI: https://dx.doi.org/10.4310/MRL.2022.v29.n3.a11

Author

Xiyuan Wang (Department of Mathematics, Johns Hopkins University, Baltimore, Maryland, U.S.A.)

Abstract

We prove the ‘weight elimination’ part of the weight part of Serre’s conjecture for $\operatorname{mod} 2$ Galois representations for rank two unitary groups, by modifying the results in [GLS14] and [GLS15].

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Received 14 September 2020

Accepted 22 January 2021

Published 30 November 2022