[Binghamton Geometry Topology Seminar] Thursday Seminar

[Matthew R Haulmark]

Hi everyone,

Our speaker this week will be Mak Pengitore of Ohio State University.

*Title:* Coarse embeddings and homological filling functions

*Abstract:* 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.

The Zoom link for the seminar is: https://binghamton.zoom.us/j/94057178271

Best,

Matt
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