Bruhat-Tits Buildings and Analytic Geometry

DOI10.1007/978-3-319-11029-5_5zbMath1326.51005arXiv1110.1362OpenAlexW2138379037MaRDI QIDQ5265213

Bertrand Rémy, Amaury Thuillier, Annette Werner

Publication date: 23 July 2015

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1362

zbMATH Keywords

compactificationlocal fieldBerkovich spaceEuclidean buildingnon-Archimedian valuation

Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Group schemes (14L15)

Related Items

Stable lattices in \(p\)-adic representations I. Regular reduction and Schur algebra ⋮ Buildings, valuated matroids, and tropical linear spaces ⋮ Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry ⋮ Cell decomposition of some unitary group Rapoport-Zink spaces ⋮ Toric principal bundles, piecewise linear maps and Tits buildings ⋮ An intrinsic characterization of Bruhat-Tits buildings inside analytic groups ⋮ Plurisubharmonic geodesics in spaces of non-Archimedean metrics of finite energy ⋮ Invariant random subgroups of linear groups

Cites Work

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• A tropical view on Bruhat-Tits buildings and their compactifications.
• (Non)-completeness of \(\mathbb R\)-buildings and fixed point theorems
• Compactification of the Bruhat-Tits building of PGL by seminorms.
• On representations and compactifications of symmetric Riemannian spaces
• Topological central extensions of semi-simple groups over local fields. I, II
• Unrefined minimal \(K\)-types for \(p\)-adic groups
• Galois Cohomology
• Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
• On local properties of non-Archimedean analytic spaces. II
• A compactification of the Bruhat-Tits building
• Jacquet functors and unrefined minimal \(K\)-types
• Every tamely ramified form of an open polydisc is trivial
• Algebraic and abstract simple groups
• The space of p-adic norms
• Groupes reductifs
• On compactifications of the quotient spaces for arithmetically defined discontinuous groups
• A Poisson formula for semi-simple Lie groups
• Reductive groups over a local field
• Galois-fixed points in the Bruhat-Tits building of a reductive group
• Groupes et algébras de Lie
• Group-theoretic compactification of Bruhat–Tits buildings
• Buildings
• The Structure of Affine Buildings. (AM-168)
• Bruhat-Tits theory from Berkovich’s point of view. I. Realizations and compactifications of buildings
• Elementary proof of a theorem of Bruhat-Tits-Rousseau and of a theorem of Tits
• Néron Models
• Some functional properties of the Bruhat-Tits building
• Introduction to Berkovich Analytic Spaces
• Compactifications of Bruhat-Tits buildings associated to linear representations
• Bruhat–Tits theory from Berkovich's point of view. II Satake compactifications of buildings
• Compactifications of Symmetric Spaces
• Linear algebraic groups.
• Compactification of the Bruhat-Tits building of PGL by lattices of smaller rank.
• Exotic triangular Tits buildings