Event Details
Large-Scale geometry of groups
Presenter: Dr. Heath Emerson - Department of Mathematical Sciences, Indiana University - Purdue University Indianapolis
Supervisor:
Date: Mon, March 3, 2003
Time: 15:30:00 - 00:00:00
Place: Elliott 162
ABSTRACT
ABSTRACT:
We discuss a way of looking at infinite discrete groups from a geometric perspective. Metrics can be put on finitely generated groups, and their structure as metric spaces can be studied, particularly with regard to their large-scale, or macroscopic properties. This perspective has led, via operator algebras and Index Theory, to partial solutions of major problems in pure topology, such as the Novikov conjecture. Obstructions having to do with sequences of expanding graphs within the Cayley graphs of groups suggest limits to this approach, however.
Refreshments will be served at 3:00 p.m. in Clearihue D-267.
Dr. Emerson is a candidate for the Pure Mathematics position in the Department.