Rigid Character Groups, Lubin-Tate Theory, and (𝜑,Γ)-Modules

DOI10.1090/memo/1275zbMath1448.11209arXiv1511.01819OpenAlexW3007655617MaRDI QIDQ5108703

Laurent Berger, Bing Yong Xie, Peter Schneider

Publication date: 6 May 2020

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

Full work available at URL: https://arxiv.org/abs/1511.01819

zbMATH Keywords

local Langlands correspondence\((\varphi,\Gamma)\)-modulesLubin-Tate theoryrigid characters

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Representations of Lie and linear algebraic groups over local fields (22E50) Rigid analytic geometry (14G22) Langlands-Weil conjectures, nonabelian class field theory (11S37) Class field theory; (p)-adic formal groups (11S31)

Related Items

Herr‐complexes in the Lubin–Tate setting ⋮ Families of Galois representations and (𝜑,𝜏)-modules ⋮ Sur un problème de compatibilité local-global localement analytique ⋮ Compairing categories of Lubin-Tate \((\varphi_L,\Gamma_L)\)-modules ⋮ COHOMOLOGY AND OVERCONVERGENCE FOR REPRESENTATIONS OF POWERS OF GALOIS GROUPS ⋮ Galois cohomology for Lubin-Tate \((\varphi_q,\Gamma_{LT})\)-modules over coefficient rings ⋮ Multivariable $(\varphi ,\Gamma )$-modules and representations of products of Galois groups: The case of the imperfect residue field

Cites Work

• Multivariable \((\varphi ,\Gamma)\)-modules and locally analytic vectors
• Galois representations and Lubin-Tate groups
• Zariski's Main Theorem für affinoide Kurven
• Overconvergent \(p\)-adic representations
• Irreducible components of rigid spaces
• Algebras of \(p\)-adic distributions and admissible representations
• Triangulable \(\mathcal O_F\)-analytic \((\varphi_q,\Gamma)\)-modules of rank 2
• \(p\)-adic analytic groups
• Zeros of polynomials over local fields. The Galois action
• Slope filtrations revisited
• Locally analytic distributions and 𝑝-adic representation theory, with applications to 𝐺𝐿₂
• Représentations localement analytiques de 𝐺𝐿₂(𝐐_{𝐩}) et (𝜑,Γ)-modules
• Théorie de Sen et vecteurs localement analytiques
• La correspondance de Langlands locale p-adique pour GL_2(Q_p)
• Points of rigid analytic varieties.
• Locally analytic vectors in representations of locally 𝑝-adic analytic groups
• Crystalline representations and F-crystals
• Fibrés vectoriels sur un polydisque ultramétrique
• Modules Over Dedekind Rings and Valuation Rings
• Algèbre commutative
• \(p\)-adic Fourier theory
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