Even Galois representations and the Fontaine–Mazur conjecture. II

DOI10.1090/S0894-0347-2011-00721-2zbMath1282.11051arXiv0907.3427WikidataQ123198728 ScholiaQ123198728MaRDI QIDQ2879892

Frank Calegari

Publication date: 5 April 2012

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.3427

zbMATH Keywords

Galois representationHodge-Tate weightsFontaine-Mazur ConjectureLocal deformation rings

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items (19)

GLOBALLY REALIZABLE COMPONENTS OF LOCAL DEFORMATION RINGS ⋮ Vanishing Fourier coefficients of Hecke eigenforms ⋮ General Serre weight conjectures ⋮ Automorphy of \(m\)-fold tensor products of GL(2) ⋮ The Breuil-Mézard conjecture when \(l\neq p\) ⋮ Slopes of Modular Forms ⋮ Reciprocity in the Langlands program since Fermat's last theorem ⋮ On automorphy of certain Galois representations of \(\mathrm{GO}_{4}\)-type ⋮ Trianguline lifts of global mod \(p\) Galois representations ⋮ Unlikely intersections on the \(p\)-adic formal ball ⋮ A geometric perspective on the Breuil–Mézard conjecture ⋮ Oddness of residually reducible Galois representations ⋮ Potentially crystalline lifts of certain prescribed types ⋮ On the modularity of 2-adic potentially semi-stable deformation rings ⋮ Motivic Galois representations valued in spin groups ⋮ Galois deformation spaces with a sparsity of automorphic points ⋮ Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations ⋮ Abelian surfaces over totally real fields are potentially modular ⋮ THE BREUIL–MÉZARD CONJECTURE FOR POTENTIALLY BARSOTTI–TATE REPRESENTATIONS

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