Lifting Galois representations of number fields

DOI10.1016/j.jnt.2008.10.001zbMath1252.11047arXiv1301.7103OpenAlexW2041643103MaRDI QIDQ1017400

Jayanta Manoharmayum

Publication date: 19 May 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.7103

zbMATH Keywords

level loweringtotally real fieldreduction of nearly ordinary Hilbert modular form

Mathematics Subject Classification ID

Galois representations (11F80) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (3)

Lifting Galois representations over arbitrary number fields ⋮ Producing geometric deformations of orthogonal and symplectic Galois representations ⋮ DEFORMATIONS OF GALOIS REPRESENTATIONS AND THE THEOREMS OF SATO–TATE AND LANG–TROTTER

Cites Work

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• Automorphic lifts of prescribed types
• Serre's modularity conjecture: the level one case
• Level lowering for modular \(\text{mod }\ell\) representations over totally real fields
• Nearly ordinary deformations of irreducible residual representations
• Lifting Galois representations
• Base change and a problem of Serre
• A local-to-global principle for deformations of Galois representations
• On icosahedral Artin representations, II

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