Quasiisometric rigidity
Connections for Women: Geometric Group Theory August 17, 2016  August 19, 2016
Location: SLMath: Eisenbud Auditorium
geometric group theory
quasiisomorphisms
Lipschitz continuity
cocompactness
nilpotent groups and actions
solvable groups
amenable groups
20Jxx  Connections of group theory with homological algebra and category theory
00A35  Methodology of mathematics {For mathematics education, see 97XX}
20A10  Metamathematical considerations in group theory {For word problems, see 20F10}
14576
In order to have well defined geometries, finitely generated groups are studied up to quasiisometric equivalence. This leads one to ask: Given a finitely generated group which other groups are quasiisometric to it? Or more generally: Given a metric space X which groups are quasiisometric to X? Answering such questions gives quasiisometric rigidity results. In these lectures we will survey techniques/results used to prove quasiisometric 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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