Group actions: Nir Lazarovich (ETH Zurich): Detecting sphere boundaries of hyperbolic groups

Thu, 15/06/201710:00-11:00
We show that the boundary of a one-ended simply connected at infinity hyperbolic group with enough codimension-1 surface subgroups is homeomorphic to a sphere. By works of Markovic and Kahn-Markovic our result gives a new characterization of groups which are virtually fundamental groups of hyperbolic 3-manifolds. Joint work with B. Beeker.