Infinitesimal actions in the \(p\)-adic local Langlands correspondence

DOI10.1007/s00208-011-0736-2zbMath1259.11110arXiv1102.4788OpenAlexW1977701254MaRDI QIDQ453427

Gabriel Dospinescu

Publication date: 27 September 2012

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

Full work available at URL: https://arxiv.org/abs/1102.4788

zbMATH Keywords

Fontaine-Mazur conjecture\(p\)-adic Hodge theory\(p\)-adic Langlands correspondence\((\phi,\Gamma)\)-modulesBanach representationSen polynomial

Mathematics Subject Classification ID

Galois representations (11F80) Langlands-Weil conjectures, nonabelian class field theory (11S37) Geometric Langlands program: representation-theoretic aspects (22E57)

Related Items

Kato's local \(\varepsilon\)-conjecture in dimension 2, Multiplicity theorems modulo \(p\) for GL\(_2\)(Q\(_p\)), Extensions de représentations de de Rham et vecteurs localement algébriques, Gelfand-Kirillov dimension and the \(p\)-adic Jacquet-Langlands correspondence, Correspondance de Langlands locale $p$-adique et anneaux de Kisin, $p$-adic local Langlands correspondence and weight shifting, On the automorphic atoms of length 2 of \(\mathrm{GL}_2(\mathbb{Q}_p)\), Dimensions of some locally analytic representations, Arithmetic families of \((\varphi,\Gamma)\)-modules and locally analytic representations of \(\mathrm{GL}_2(\mathbb Q_p)\), Cohomologie 𝑝-adique de la tour de Drinfeld: le cas de la dimension 1, On locally analytic vectors of the completed cohomology of modular curves, Représentations localement analytiques de 𝐺𝐿₂(𝐐_{𝐩}) et (𝜑,Γ)-modules, Endomorphism algebras of admissible 𝑝-adic representations of 𝑝-adic Lie groups

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