Zimmer's conjecture for actions of \(\mathrm{SL}(m,\mathbb{Z})\)

DOI10.1007/s00222-020-00962-xzbMath1482.22023arXiv1710.02735OpenAlexW3010733227WikidataQ122911884 ScholiaQ122911884MaRDI QIDQ785946

David Fisher, Sebastian Hurtado, Aaron W. Brown

Publication date: 12 August 2020

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.02735

zbMATH Keywords

actions of latticesZimmer's conjecture

Mathematics Subject Classification ID

Other matrix groups over rings (20H25) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) General theory of group and pseudogroup actions (22F05) Noncompact Lie groups of transformations (57S20)

Related Items (12)

Matrix group actions on product of spheres ⋮ C¹ actions on manifolds by lattices in Lie groups ⋮ Small \(C^1\) actions of semidirect products on compact manifolds ⋮ Analysis on simple Lie groups and lattices ⋮ Lattice subgroups acting on manifolds ⋮ Rigidity, lattices, and invariant measures beyond homogeneous dynamics ⋮ Smooth ergodic theory of \(\mathbb{Z}^d \)-actions ⋮ Global rigidity of higher rank lattice actions with dominated splitting ⋮ Working session: Zimmer's conjecture. Abstracts from the working session held October 13--18, 2019 ⋮ Anatole Katok ⋮ Arithmeticity, superrigidity, and totally geodesic submanifolds ⋮ Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds

Cites Work

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