Corey Bregman (Tufts University)

Title: On a generalization of Cannon’s conjecture for cubulated hyperbolic groups

Abstract: We show that cubulated hyperbolic groups with spherical boundary of dimension 3 or at least 5 are virtually fundamental groups of closed, orientable, aspherical manifolds, provided that there are sufficiently many quasi-convex, codimension-1 subgroups whose limit sets are locally flat subspheres. The proof is based on ideas used by Markovic in his work on Cannon’s conjecture for cubulated hyperbolic groups with 2-sphere boundary. This is joint work with Merlin Incerti-Medici.

We will gather for teatime in the lounge at 4pm after the talk, and then we will go for dinner with Corey.