[Binghamton Geometry Topology Seminar] Seminar This Week

Cary Malkiewich malkiewich at math.binghamton.edu
Thu Mar 25 09:29:28 EDT 2021


Hi everyone,

A quick reminder about the seminar and coffee hour today. See you there!

Cary

On Tue, Mar 23, 2021 at 7:14 AM Matthew R Haulmark <haulmark at binghamton.edu>
wrote:

> Hi everyone,
>
> This week our speaker will be Alexander Margolis from Vanderbilt
> University. Here are the details.
>
> *Title:*  Topological completions of quasi-actions and discretisable
> spaces
>
> *Abstract: *A fundamental problem in geometric group theory is the study
> of quasi-actions. We introduce and investigate discretisable spaces: spaces
> for which every cobounded quasi-action can be quasi-conjugated to an
> isometric action on a locally finite graph. Work of Mosher-Sageev-Whyte
> shows that free groups are discretisable spaces, but the property holds
> much more generally. For instance, most hyperbolic groups are
> discretisable, as are most finitely presented groups of cohomological
> dimension two.
>
> Along the way, we introduce the concept of the topological completion of a
> quasi-action. This is a locally compact group, well-defined up to a compact
> normal subgroup, reflecting the geometry of the quasi-action. We give
> several applications of the tools we develop. For instance, we show that
> any finitely generated group quasi-isometric to a ‬Z‭-by-hyperbolic group
> is also Z-by-hyperbolic.
>
>
> Zoom link for the seminar, 2:50 - 3:50:
> https://binghamton.zoom.us/j/94057178271
>
> Zoom link for the coffee, 12:30 - 1:30:
> https://binghamton.zoom.us/j/96674397432
>
> Best,
>
> Matt
> _______________________________________________
> Seminar web page:
> http://www2.math.binghamton.edu/p/seminars/topsem
> topsem mailing list:
> http://www1.math.binghamton.edu/mailman/listinfo/topsem
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