On the modularity of 2-adic potentially semi-stable deformation rings

DOI10.1007/s00209-020-02588-4zbMath1484.11130arXiv1908.06174OpenAlexW3047960465MaRDI QIDQ2031701

Shen-Ning Tung

Publication date: 10 June 2021

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06174

zbMATH Keywords

Fontaine-Mazur conjecture\(p\)-adic Langlands correspondence

Mathematics Subject Classification ID

Galois representations (11F80) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (9)

The Fontaine-Mazur conjecture in the residually reducible case ⋮ Gelfand-Kirillov dimension and the \(p\)-adic Jacquet-Langlands correspondence ⋮ Reciprocity in the Langlands program since Fermat's last theorem ⋮ A simplified proof of Serre's conjecture ⋮ Local models for Galois deformation rings and applications ⋮ Degenerating products of flag varieties and applications to the Breuil-Mézard conjecture ⋮ On the density of supercuspidal points of fixed regular weight in local deformation rings and global Hecke algebras ⋮ On the automorphy of 2-dimensional potentially semistable deformation rings of \(G_{\mathbb{Q}_p}\) ⋮ Finiteness properties of the category of mod p representations of

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