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Adjoint Selmer groups of automorphic Galois representations of unitary type

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Newton, J 
Thorne, JA 

Abstract

Let ρ be the p-adic Galois representation attached to a cuspidal, regular algebraic automorphic representation of GLn of unitary type. Under very mild hypotheses on ρ, we prove the vanishing of the (Bloch–Kato) adjoint Selmer group of ρ. We obtain definitive results for the adjoint Selmer groups associated to non-CM Hilbert modular forms and elliptic curves over totally real fields.

Description

Keywords

Galois representations, automorphic forms, adjoint Selmer groups

Journal Title

Journal of the European Mathematical Society

Conference Name

Journal ISSN

1435-9855
1435-9863

Volume Title

Publisher

European Mathematical Society - EMS - Publishing House GmbH

Rights

All rights reserved
Sponsorship
European Research Council (714405)
J.T.’s work received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 714405).