Quasi-isometric rigidity
Connections for Women: Geometric Group Theory August 17, 2016 - August 19, 2016
Location: MSRI: Simons Auditorium
geometric group theory
quasi-isomorphisms
Lipschitz continuity
cocompactness
nilpotent groups and actions
solvable groups
amenable groups
20F65 - Geometric group theory [See also 05C25, 20E08, 57Mxx]
52C25 - Rigidity and flexibility of structures [See also 70B15]
20F16 - Solvable groups, supersolvable groups [See also 20D10]
20F29 - Representations of groups as automorphism groups of algebraic systems
14576
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.
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14576
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