Asymptotic topology and group actions

Wednesday, November 13, 2013 - 1:30pm - 2:30pm
Lind 305
Greg Bell (University of North Carolina, Greensboro)
The large-scale approach to metric spaces was popularized by Gromov who applied these ideas to finitely generated groups. Although this asymptotic topology is interesting in its own right, a great deal of interest in large-scale dimension followed from Guoliang Yu’s result that groups with finite asymptotic dimension satisfy the Novikov higher signature conjecture. In this talk we’ll define some dimension-theoretic notions in asymptotic topology and discuss the role geometric group theory plays in proving large-scale analogs of classical results.