Adjoint Selmer groups of automorphic Galois representations of unitary type
Accepted version
Peer-reviewed
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Repository DOI
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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
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Journal ISSN
1435-9855
1435-9863
1435-9863
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Publisher
European Mathematical Society - EMS - Publishing House GmbH
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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).