Représentations localement analytiques de 𝐺𝐿₂(𝐐_{𝐩}) et (𝜑,Γ)-modules

DOI10.1090/ert/484zbMath1354.22021OpenAlexW2520951227MaRDI QIDQ2822853

Pierre Colmez

Publication date: 5 October 2016

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

Full work available at URL: https://doi.org/10.1090/ert/484

zbMATH Keywords

\(p\)-adic local Langlands correspondencelocally analytic representationRobba ring\((\varphi,\Gamma)\)-module

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11S37) Discontinuous groups and automorphic forms (11Fxx)

Related Items (8)

Locally analytic 𝐸𝑥𝑡¹ for 𝐺𝐿₂(ℚ_{𝕡}) in de Rham non-trianguline case ⋮ Iwasawa theory and \(F\)-analytic Lubin-Tate \((\varphi,\Gamma)\)-modules ⋮ Cohomology of topologised monoids ⋮ Compairing categories of Lubin-Tate \((\varphi_L,\Gamma_L)\)-modules ⋮ Rigid Character Groups, Lubin-Tate Theory, and (𝜑,Γ)-Modules ⋮ $p$-adic local Langlands correspondence and weight shifting ⋮ Arithmetic families of \((\varphi,\Gamma)\)-modules and locally analytic representations of \(\mathrm{GL}_2(\mathbb Q_p)\) ⋮ COHOMOLOGY AND OVERCONVERGENCE FOR REPRESENTATIONS OF POWERS OF GALOIS GROUPS

Cites Work

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• Spaces of functions of class \(C^r\) on \(\mathcal O_F\)
• Infinitesimal actions in the \(p\)-adic local Langlands correspondence
• Universal completions for representations of \(\mathrm{GL}_2(\mathbb{Q}_p)\)
• Galois representations and Lubin-Tate groups
• \(p\)-adic representations and differential equations
• $p$-adic local Langlands correspondence and weight shifting
• A \(p\)-adic local monodromy theorem
• About the density of \(\text{Gal}(\overline{\mathbb Q}_p/\mathbb Q_p)\) crystalline representations
• Triangulable \(\mathcal O_F\)-analytic \((\varphi_q,\Gamma)\)-modules of rank 2
• The \(p\)-adic local Langlands correspondence for \(\mathrm{GL}_2(\mathbb{Q}_p)\)
• Automorphic forms on GL (2)
• Les zéros des fonctions analytiques d'une variable sur un corps valué complet
• Locally analytic distributions and 𝑝-adic representation theory, with applications to 𝐺𝐿₂
• Equations differentielles p-adiques et modules de Jacquet analytiques
• Locally analytic vectors of unitary principal series of ${\mathrm{GL}}_2({\mathbb{Q}}_p)$
• The cohomology of locally analytic representations
• \(p\)-adic Fourier theory

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