Group-theoretic compactification of Bruhat–Tits buildings

DOI10.1016/j.ansens.2006.10.002zbMath1126.20029arXivmath/0504291OpenAlexW2033131484MaRDI QIDQ3435101

Yves Guivarc'h, Bertrand Rémy

Publication date: 4 May 2007

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504291

zbMATH Keywords

parabolic subgroupssemisimple groupsconvergence theoremsBruhat-Tits buildingsnon-Archimedean local fieldsChabauty topologyEuclidean buildingsamenable subgroupsmaximal compact subgroupssemi-homogeneous treesdistal subgroupsgeometric parametrizations of subgroupspolyhedral compactifications

Mathematics Subject Classification ID

Geometric group theory (20F65) Discrete subgroups of Lie groups (22E40) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Linear algebraic groups over local fields and their integers (20G25) Groups acting on trees (20E08) Groups as automorphisms of other structures (22F50)

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Curve Complexes Versus Tits Buildings: Structures and Applications ⋮ Buildings and Kac-Moody Groups ⋮ Chimney retractions in affine buildings encode orbits in affine flag varieties ⋮ Geometric structures in group theory. Abstracts from the workshop held February 27 -- March 5, 2022 ⋮ Chabauty compactification of the space of Cartan subgroups of \(\mathrm{SL}_n(\mathbb R)\) ⋮ Combinatorial and group-theoretic compactifications of buildings ⋮ On approximation of Lie groups by discrete subgroups ⋮ Bruhat–Tits theory from Berkovich's point of view. II Satake compactifications of buildings ⋮ CHABAUTY LIMITS OF SIMPLE GROUPS ACTING ON TREES ⋮ Unnamed Item ⋮ Chabauty limits of parahoric subgroups of \(\mathrm{SL}(n,\mathbb{Q}_p)\) ⋮ Local limits of connected subgroups of \(\mathrm{SL}_3(\mathbb{R})\) ⋮ Affine Anosov diffeomorphims of affine manifolds ⋮ Lattices in amenable groups ⋮ The space of closed subgroups of ℝⁿis stratified and simply connected ⋮ Chabauty limits of diagonal Cartan subgroups of \(\mathrm{SL}(n, \mathbb{Q}_p)\) ⋮ Bruhat-Tits Buildings and Analytic Geometry ⋮ Compactifications of S-arithmetic Quotients for the Projective General Linear Group

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