Quasi-isometric rigidity of higher rank \(S\)-arithmetic lattices.

DOI10.2140/gt.2007.11.995zbMath1171.22008arXivmath/0401357OpenAlexW2142122068MaRDI QIDQ2464817

Kevin Wortman

Publication date: 17 December 2007

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401357

zbMATH Keywords

semisimple Lie groupscocompact latticesEuclidean buildingsquasi-isometric rigidityarithmetic latticesproducts of symmetric spacesquasiflats with holes theorem

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Groups with a (BN)-pair; buildings (20E42)

Related Items

A joinings classification and a special case of Raghunathan's conjecture in positive characteristic (with an appendix by Kevin Wortman), Extremal elements in Coxeter groups and metric commensurators of Kac-Moody groups, A finitely-presented solvable group with a small quasi-isometry group., A lattice in more than two Kac-Moody groups is arithmetic., Quasiflats with holes in reductive groups., Lattice envelopes, Isometry groups of non-positively curved spaces: discrete subgroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The large-scale geometry of Hilbert modular groups
• Homomorphismes abstraits de groupes algébriques simples
• On superrigidity and arithmeticity of lattices in semisimple groups over local fields of arbitrary characteristic
• Finiteness properties of certain arithmetic groups in the function field case
• Buildings of spherical type and finite BN-pairs
• Strong approximation for semi-simple groups over function fields
• Finiteness properties of Chevalley groups over \(\mathbb{F}_ q[t\)]
• Quasi-isometric rigidity and Diophantine approximation
• The quasi-isometry classification of lattices in semisimple Lie groups
• Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
• Quasi-isometric classification of non-uniform lattices in semisimple groups of higher rank
• The quasi-isometry classification of rank one lattices
• Quasi-isometric rigidity for \(PSL_2 (\mathbb{Z} [1/p)\)]
• Algebraic and abstract simple groups
• Quasiflats with holes in reductive groups.
• Rationality properties of linear algebraic groups. II
• Strong rigidity of Q-rank 1 lattices
• Über die Galoiskohomologie halbeinfacher algebraischer Gruppen. III.
• Quasi-flats and rigidity in higher rank symmetric spaces
• Quasi-isometric rigidity of nonuniform lattices in higher rank symmetric spaces
• Density and maximality of arithmetic subgroups.
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)
• The word and Riemannian metrics on lattices of semisimple groups