Detecting sphere boundaries of hyperbolic groups

Seminar
Speaker
Dr. Benjamin Beeker (Hebrew University of Jerusalem)
Date
16/03/2016 - 11:30 - 10:30Add to Calendar 2016-03-16 10:30:00 2016-03-16 11:30:00 Detecting sphere boundaries of hyperbolic groups We show that the boundary of a one-ended hyperbolic group that has enough codimension-1 surface subgroups and is simply connected at infinity is homeomorphic to a 2-sphere. Together with a result of Markovic, it follows that these groups are Kleinian groups.    In my talk, I will describe this result and give a sketch of the proof.   This is joint work with N. Lazarovich. Third floor seminar room אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Third floor seminar room
Abstract
We show that the boundary of a one-ended hyperbolic group that has enough codimension-1 surface subgroups and is simply connected at infinity is homeomorphic to a 2-sphere. Together with a result of Markovic, it follows that these groups are Kleinian groups. 
 
In my talk, I will describe this result and give a sketch of the proof.
 
This is joint work with N. Lazarovich.

Last Updated Date : 10/03/2016