\(p\)-adic-representations of \(\text{GL}_2(L)\) and derived categories

DOI10.1007/s11856-010-0031-zzbMath1210.11066OpenAlexW1994402871MaRDI QIDQ980507

Benjamin Schraen

Publication date: 29 June 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-010-0031-z

zbMATH Keywords

Galois representations\(p\)-adic representations of GL(2) over a finite extension of \(\mathbb Q_p\)Fontaine's theory

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) (p)-adic theory, local fields (11F85) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (8)

Locally analytic socle. I. ⋮ \protect \mathcal{L}-invariants, partially de Rham families, and local-global compatibility ⋮ Companion points and locally analytic socle for \(\mathrm{GL}_2(L)\) ⋮ \(\mathcal{L}\)-invariants and logarithm derivatives of eigenvalues of Frobenius ⋮ -INVARIANTS AND LOCAL–GLOBAL COMPATIBILITY FOR THE GROUP ⋮ On the Breuil-Mézard conjecture ⋮ Sur certains complétés unitaires universels explicites pour $GL_2(F)$ ⋮ Simple ℒ-invariants for GL_{𝓃}

Cites Work

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• Nonabelian Lubin-Tate theory and elliptic representations
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• Algebras of \(p\)-adic distributions and admissible representations
• The cohomology of \(p\)-adic symmetric spaces
• Locally analytic distributions and 𝑝-adic representation theory, with applications to 𝐺𝐿₂
• On the irreducibility of locally analytic principal series representations
• The p-adic monodromy-weight conjecture for p-adically uniformized varieties
• Frobenius and monodromy operators in rigid analysis, and Drinfel’d’s symmetric space
• Auslander Regularity of 𝑝-adic Distribution Algebras
• Espaces symétriques de Drinfeld et correspondance de Langlands locale

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