Groups and Dynamics Seminar

Date: October 22, 2014

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Noel Brady, University of Oklahoma

Title: Snowflake subgroups of CAT(0) groups

Abstract: CAT(0) groups are a class of groups which contain the fundamental groups of closed non-positively curved manifolds. The underlying non-positively curved geometry has nice consequences for the groups; for example, the groups satisfy a quadratic isoperimetric (area versus perimeter) inequality. In this talk we will discuss the question of possible isoperimetric behavior of finitely presented subgroups of CAT(0) groups. We will see how to construct CAT(0) groups which contain snowflake subgroups. This expands the known range of isoperimetric behavior of subgroups of CAT(0) groups.