Geometry, Topology and Dynamics Seminar
Daniel Groves
UIC
Hyperbolic groups acting improperly
Abstract: Suppose that a hyperbolic group G acts cocompactly on a CAT(0) cube complex,
and that vertex stabilizers are quasiconvex and virtually special. We prove that G is virtually special.
In case vertex stabilizers are finite, this is a result of Agol (which implies the Virtual
Haken Conjecture and the Virtual Fibering Conjecture), and in case the cube complex is
a tree it is a result of Wise (a key ingredient in Agol's proof and result with significant
consequences in its own right). I will discuss the background and ingredients of the proof of this result
and also some possible applications. This is joint work with Jason Manning (Cornell).
Monday November 7, 2016 at 3:00 PM in SEO 636