Coarse Embeddings and Homological Filling functions

Geometry & Topology
Event time: 
Tuesday, September 8, 2020 - 4:00pm
Mark Pengitore
Speaker affiliation: 
Event description: 

In this talk, we will relate homological filling functions and the existence of coarse embeddings. In particular, we will demonstrate that a coarse embedding of a group into a group of geometric dimension 2 induces an inequality on homological Dehn functions in dimension 2. As an application of this, we are able to show that if a finitely presented group coarsely embeds into a hyperbolic group of geometric dimension 2, then it is hyperbolic. Another application is a characterization of subgroups of groups with quadratic Dehn function. If there is enough time, we will talk about various higher dimensional generalizations of our main result.

Special note: 
Email Caglar or Franco for the zoom password.