Deformations of Galois representations and exceptional monodromy

DOI10.1007/s00222-015-0635-3zbMath1358.11064arXiv1507.01294OpenAlexW3099440958MaRDI QIDQ328668

Stefan Patrikis

Publication date: 20 October 2016

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01294

zbMATH Keywords

liftingsalgebraic monodromygeometric \(\ell \)-adic Galois representationsordinary deformationRamakrishna deformationSteinberg deformation

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Galois representations (11F80)

Related Items (18)

Deformations of Galois representations and exceptional monodromy. II: Raising the level ⋮ Derived Hecke action at p and the ordinary p -adic cohomology of arithmetic manifolds ⋮ A local Langlands parameterization for generic supercuspidal representations of $p$-adic $G_2$ ⋮ Density of Selmer ranks in families of even Galois representations, Wiles' formula, and global reciprocity ⋮ Galois representations for general symplectic groups ⋮ COMPATIBLE SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED TO THE EXCEPTIONAL GROUP ⋮ \(G\)-valued local deformation rings and global lifts ⋮ A refined lifting theorem for supersingular Galois representations ⋮ Motivic Galois representations valued in spin groups ⋮ Producing geometric deformations of orthogonal and symplectic Galois representations ⋮ Galois deformation spaces with a sparsity of automorphic points ⋮ Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations ⋮ Quantitative level lowering for Galois representations ⋮ Algebraic monodromy groups of \(l\)-adic representations of \(\mathrm{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})\) ⋮ Deformations of certain reducible Galois representations III ⋮ A note on Galois representations valued in reductive groups with open image ⋮ Deformations of reducible Galois representations to Hida-families ⋮ Lifting and automorphy of reducible mod \(p\) Galois representations over global fields

Uses Software

• LMFDB

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