3-Manifold Seminar: Cubulated hyperbolic groups.

Seminar | September 26 | 11:10 a.m.-12:30 p.m. | 939 Evans Hall

 Eduardo Oregon-Reyes, UC Berkeley

 Department of Mathematics

A group is cubulated if it admits a geometric action on a $\textrm {CAT}(0)$ cube complex. We'll discuss the class of cubulated hyperbolic groups, which by Agol's work satisfy the "virtually special" condition introduced by Haglund and Wise. We'll explore some consequences of this in terms of subgroup separability and existence of hierarchies.