Banach-Hecke algebras and \(p\)-adic Galois representations

zbMath1140.11026arXivmath/0510661MaRDI QIDQ2369740

Peter Schneider, Jeremy T. Teitelbaum

Publication date: 20 June 2007

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

Full work available at URL: https://arxiv.org/abs/math/0510661

zbMATH Keywords

Iwahori-Hecke algebraSatake isomorphism\(p\)-adic local Langlands correspondenceBanach-Hecke algebracrystalline Galois representationfiltered isocrystal

Mathematics Subject Classification ID

Galois representations (11F80) Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (11)

Estimées pour les valuations $p$-adiques des valeurs propres des opérateurs de Hecke ⋮ Locally algebraic vectors in the Breuil-Herzig ordinary part ⋮ Locally analytic socle. I. ⋮ Existence of invariant norms in \(p\)-adic representations of \(\mathrm{GL}_2(F)\) of large weights ⋮ A proof of the Breuil-Schneider conjecture in the indecomposable case ⋮ Patching and the -adic Langlands program for ⋮ Galois representations for general symplectic groups ⋮ Existence of invariant norms for \(\mathrm{GL}_2\) ⋮ A modular interpretation of the trianguline variety ⋮ On the Breuil-Mézard conjecture ⋮ The Breuil-Schneider Conjecture: A Survey

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