Bruhat-Tits theory from Berkovich's point of view. Analytic filtrations

DOI10.5802/ahl.137zbMath1517.20047OpenAlexW3035237008MaRDI QIDQ6159720

Unnamed Author

Publication date: 20 June 2023

Published in: Annales Henri Lebesgue (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/ahl.137

zbMATH Keywords

Bruhat-Tits buildingsBerkovich spacesMoy-Prasad filtrations

Mathematics Subject Classification ID

Groups with a (BN)-pair; buildings (20E42) Rigid analytic geometry (14G22) Linear algebraic groups over local fields and their integers (20G25)

Cites Work

• The convergence Newton polygon of a \(p\)-adic differential equation. II: Continuity and finiteness on Berkovich curves
• Berkovich spaces and applications. Based on a workshop, Santiago de Chile, Chile, January 2008 and a summer school, Paris, France, June 2010
• Reductive groups on a local field. II. Groups schemes. Existence of valuated root datum
• Unrefined minimal \(K\)-types for \(p\)-adic groups
• Étale cohomology for non-Archimedean analytic spaces
• Jacquet functors and unrefined minimal \(K\)-types
• Construction of tame supercuspidal representations
• Supercuspidal representations: An exhaustion theorem
• Bruhat-Tits theory from Berkovich’s point of view. I. Realizations and compactifications of buildings
• Bruhat–Tits Theory
• Filtrations and Buildings
• Notions of Stein spaces in non-Archimedean geometry
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