Jerusalem Mathematics Colloquium

Thursday, 17th June 2010, 4:00 pm
Mathematics Building, Lecture Hall 2

Mladen Bestvina

"Asymptotic dimension"


Asymptotic dimension is a large scale invariant of a metric space (e.g. a group) introduced by Gromov. It parallels in many ways the classical (Hurewicz-Wallman) covering dimension of topological spaces. When asymptotic dimension of a group is finite, standard (Novikov type) conjectures follow. In the talk I will explain the definition and how one proves finiteness for some well known groups (for example, hyperbolic groups). In the last part of the talk I will outline the main ideas in the recent work, joint with Ken Bromberg and Koji Fujiwara, that mapping class groups have finite asymptotic dimension.

Light refreshments will be served in the faculty lounge at 3:30.

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