Locally analytic vectors of some crystabelian representations of GL2(ℚp)

DOI10.1112/S0010437X11005525zbMath1267.11059arXiv0910.0601MaRDI QIDQ3114532

Ruochuan Liu

Publication date: 18 February 2012

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.0601

zbMATH Keywords

Galois representations\(p\)-adic local Langlands correspondence\((\varphi,\Gamma)\)-modulesspace of locally analytic vectors

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Galois representations (11F80) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (3)

Locally analytic socle. I. ⋮ Rigid analytic vectors of crystalline representations arising in \(p\)-adic Langlands ⋮ Sur un problème de compatibilité local-global localement analytique

Cites Work

• A local-global compatibility conjecture in the \(p\)-adic Langlands programme for \(\text{GL}_{2}/\mathbb Q\)
• Overconvergent \(p\)-adic representations
• Algebras of \(p\)-adic distributions and admissible representations
• \(p\)-adic representations and differential equations
• Banach space representations and Iwasawa theory
• On some crystalline representations of \(\mathrm{GL}_2(\mathbb Q_p)\)
• 𝑈(𝔤)-finite locally analytic representations
• Locally analytic distributions and 𝑝-adic representation theory, with applications to 𝐺𝐿₂

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