3-Manifolds, Artin Groups and Cubical Geometry


Coordinates:	Wednesday, 3 August, 11:00-12:00, Room 4102
Speaker:	Ruth Charney (Brandeis University)
Title:	Contracting boundaries of CAT(0) spaces
Abstract:	Boundaries of hyperbolic spaces play a central role in the study of hyperbolic groups. CAT(0) boundaries are less effective since they are not quasi-isometry invariant. We study the subspace of the visual boundary of a CAT(0) space consisting of contracting rays. We show that this “contracting boundary” is quasi-isometry invariant and isolates hyperbolic-like behavior in the visual boundary.