Automorphy lifting for residually reducible 𝑙-adic Galois representations

DOI10.1090/S0894-0347-2014-00812-2zbMath1396.11087OpenAlexW1966727563WikidataQ60017091 ScholiaQ60017091MaRDI QIDQ5247667

Jack A. Thorne

Publication date: 27 April 2015

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0894-0347-2014-00812-2

zbMATH Keywords

automorphic representationuniversal deformation ring\(l\)-adic Galois representations

Mathematics Subject Classification ID

Galois representations (11F80) Deformations and infinitesimal methods in commutative ring theory (13D10)

Related Items (18)

On the Chebotarev-Sato-Tate phenomenon ⋮ Automorphy of some residually dihedral Galois representations ⋮ Big principal series, -adic families and -invariants ⋮ The Fontaine-Mazur conjecture in the residually reducible case ⋮ Reciprocity in the Langlands program since Fermat's last theorem ⋮ Adjoint Selmer groups of automorphic Galois representations of unitary type ⋮ Modularity of Galois representations and Langlands functoriality ⋮ Congruences between modular forms ⋮ Potential automorphy over CM fields ⋮ Integral models of Hilbert modular varieties in the ramified case, deformations of modular Galois representations, and weight one forms ⋮ Level raising and symmetric power functoriality. II ⋮ Automorphy lifting for residually reducible -adic Galois representations, II ⋮ Oddness of residually reducible Galois representations ⋮ On the modularity of 2-adic potentially semi-stable deformation rings ⋮ Symmetric power functoriality for holomorphic modular forms ⋮ Abelian surfaces over totally real fields are potentially modular ⋮ Lifting and automorphy of reducible mod \(p\) Galois representations over global fields ⋮ Raising the level for

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