Time

Feb 22 2006 - 4:30pm

Location

BO 422

Speaker

Kim Ruane (Tufts University)

Seminar Website

http://www.math.osu.edu/~mhindawi/GGT-Seminar/GGT.html

Abstract

Given a CAT(0) space X, one can put two very different topologies on the boundary of X. The Tits topology captures the behavior of flat subspaces in X while the topology of the visual boundary often gives other useful information about X. We will discuss a recent theorem that shows how important it can be to understand the interaction between these two topologies. In particular, it is a simple yet powerful fact that the identity map on the boundary is a continuous map from the Tits topology to the visual topology.