Adjoint Selmer groups of automorphic Galois representations of unitary type
Journal of the European Mathematical Society
European Mathematical Society Publishing House
MetadataShow full item record
Thorne, J., & Newton, J. Adjoint Selmer groups of automorphic Galois representations of unitary type. Journal of the European Mathematical Society https://doi.org/10.17863/CAM.55603
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.
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).
European Commission Horizon 2020 (H2020) ERC (714405)
Embargo Lift Date
This record's DOI: https://doi.org/10.17863/CAM.55603
This record's URL: https://www.repository.cam.ac.uk/handle/1810/308517
All rights reserved