Quasi-isometric rigidity
Connections for Women: Geometric Group Theory August 17, 2016 - August 19, 2016
Location: SLMath: Eisenbud Auditorium
geometric group theory
quasi-isomorphisms
Lipschitz continuity
discrete groups
cocompactness
proper action
20Jxx - Connections of group theory with homological algebra and category theory
00A35 - Methodology of mathematics {For mathematics education, see 97-XX}
14575
In order to have well defined geometries, finitely generated groups are studied up to quasi-isometric equivalence. This leads one to ask: Given a finitely generated group which other groups are quasi-isometric to it? Or more generally: Given a metric space X which groups are quasi-isometric to X? Answering such questions gives quasi-isometric rigidity results. In these lectures we will survey techniques/results used to prove quasi-isometric rigidity theorems and then we will study more carefully the case when X is a solvable Lie group with a left invariant metric
Dymarz Notes
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