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Group actions: Nir Lazarovich (ETH Zurich): Detecting sphere boundaries of hyperbolic groups | Einstein Institute of Mathematics

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

Date: 
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.