Geometry, Topology and Dynamics Seminar
Nir Lazarovich
Techion
Regular CAT(0) Cube Complexes
Abstract: Over the past years CAT(0) cube complexes have played a major role in geometric group theory and have provided many examples of interesting group actions on CAT(0) spaces. In the search for highly symmetric CAT(0) cube complexes -- just as for their 1-dimensional analogues, trees -- it is natural to consider the sub-class of "regular" CAT(0) cube complexes, i.e., cube complexes with the same link at each vertex. However, unlike regular trees, general regular CAT(0) cube complexes are not necessarily uniquely determined by their links.
In this talk, we will discuss a necessary and sufficient condition for uniqueness. We will then explore some examples of unique regular cube complexes and the properties of their automorphism groups.
Wednesday April 23, 2014 at 3:00 PM in SEO 612