Geometry, Topology and Dynamics Seminar
Wouter Van Limbeek
UIC
Rigidity of warped cones and coarse geometry of expanders
Abstract: Finitely generated subgroups of compact Lie groups give rise to expander graphs via a warped cone construction. We study the dependence of the coarse geometry of such expander graphs on the original subgroup and establish a dynamical analogue of quasi-isometric rigidity theorems in geometric group theory: Namely, the coarse geometry of the warped cone determines the subgroup up to commensurability, unless the group has abelian factors. This is joint work with David Fisher and Thang Nguyen.
Monday September 10, 2018 at 3:00 PM in 636 SEO