\(G\)-valued local deformation rings and global lifts

DOI10.2140/ant.2019.13.333zbMath1455.11077arXiv1708.04885OpenAlexW2745819166MaRDI QIDQ1736425

Rebecca Bellovin, Toby Gee

Publication date: 26 March 2019

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.04885

zbMATH Keywords

Galois deformations

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Galois representations (11F80)

Related Items (13)

GLOBALLY REALIZABLE COMPONENTS OF LOCAL DEFORMATION RINGS ⋮ From p-modular to p-adic Langlands Correspondences for $${\mathrm {U}(1,1)({\mathbb {Q}_{{p}^{2}}}/\mathbb {Q}_{p})}$$ : Deformations in the Non-supercuspidal Case ⋮ Coherent Springer theory and the categorical Deligne-Langlands correspondence ⋮ P-adic L-functions in universal deformation families ⋮ Potentially diagonalisable lifts with controlled Hodge-Tate weights ⋮ Motivic Galois representations valued in spin groups ⋮ Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations ⋮ Symmetric power functoriality for holomorphic modular forms ⋮ Abelian surfaces over totally real fields are potentially modular ⋮ Potential automorphy of \(\mathrm{GSpin}_{2n+1}\)-valued Galois representations ⋮ Weight elimination in Serre-type conjectures ⋮ Serre weight conjectures for \(p\)-adic unitary groups of rank 2 ⋮ Lifting and automorphy of reducible mod \(p\) Galois representations over global fields

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