Detecting sphere boundaries of hyperbolic groups

Wed, 16/03/2016 - 10:30
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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.