Date: Tuesday, April 13, 2010
Title: Asymptotic dimension
Abstract: 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 (HurewiczWallman) 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.
Speaker: Mladen Bestvina
Institution: Univ of Utah
