Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations

DOI10.1215/00127094-2021-0003OpenAlexW3206961708MaRDI QIDQ2059022

Stefan Patrikis, Najmuddin Fakhruddin, Chandrashekhar B. Khare

Publication date: 13 December 2021

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02374

zbMATH Keywords

geometric Galois representationsdeformation theory of Galois representations

Mathematics Subject Classification ID

Galois representations (11F80) Langlands-Weil conjectures, nonabelian class field theory (11R39) Galois cohomology (11R34)

Related Items (10)

Derived Hecke action at p and the ordinary p -adic cohomology of arithmetic manifolds ⋮ Trianguline lifts of global mod \(p\) Galois representations ⋮ A local Langlands parameterization for generic supercuspidal representations of $p$-adic $G_2$ ⋮ Local models for Galois deformation rings and applications ⋮ Remarks on the inverse Galois problem over function fields ⋮ Density of Selmer ranks in families of even Galois representations, Wiles' formula, and global reciprocity ⋮ Crystalline lifts and a variant of the Steinberg-Winter theorem ⋮ Potential automorphy of \(\mathrm{GSpin}_{2n+1}\)-valued Galois representations ⋮ A note on Galois representations valued in reductive groups with open image ⋮ Lifting and automorphy of reducible mod \(p\) Galois representations over global fields

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