Producing geometric deformations of orthogonal and symplectic Galois representations

DOI10.1016/j.jnt.2018.05.022zbMath1458.11087arXiv1612.04237OpenAlexW2811307766WikidataQ129638963 ScholiaQ129638963MaRDI QIDQ1800473

Jeremy Booher

Publication date: 24 October 2018

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

Full work available at URL: https://arxiv.org/abs/1612.04237

zbMATH Keywords

algebraic groupsGalois representationsFontaine-Laffaille theory

Mathematics Subject Classification ID

Galois representations (11F80)

Related Items (5)

Minimally ramified deformations when ⋮ G-valued crystalline deformation rings in the Fontaine–Laffaille range ⋮ \(G\)-valued local deformation rings and global lifts ⋮ A refined lifting theorem for supersingular Galois representations ⋮ Quantitative level lowering for Galois representations

Cites Work

• Deformations of Galois representations and exceptional monodromy
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• Lifting Galois representations of number fields
• Serre's modularity conjecture. I
• Serre's modularity conjecture. II
• Modularity lifting beyond the Taylor-Wiles method
• Lifting Galois representations
• Deforming Galois representations and the conjectures of Serre and Fontaine-Mazur.
• On quasi-reductive group schemes
• Lifting n-Dimensional Galois Representations
• Construction de représentations $p$-adiques
• On icosahedral Artin representations, II
• The asymptotic growth of torsion homology for arithmetic groups
• Functors of Artin Rings
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