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Quasi-isometric classification of 3-manifold groups


Speaker: Jason Behrstock, Lehman College, CUNY
Location: 1147 MSB
Start time: Mon, Nov 10 2008, 4:10PM

Any finitely generated group can be endowed with a metric which is unique up to maps of bounded distortion (quasi-isometries). A fundamental question is to classify finitely generated groups up to quasi-isometry.

Considered from this point of view, fundamental groups of 3-manifolds provide a rich source of examples. We will survey the world of 3-manifold groups from classical results to the recent resolution of some long standing questions. This talk is intended for a broad mathematical audience.

(Joint work with W. Neumann)

Refreshments will be served before the talk.