[Binghamton Geometry Topology Seminar] Seminar This Week

[Cary Malkiewich]

Hi everyone,

A quick reminder about the seminar and coffee hour today, links below. See
you soon!

Best,
Cary

On Mon, Nov 2, 2020 at 2:24 PM Matthew R Haulmark <haulmark at binghamton.edu>
wrote:

> Hi everyone,
>
> This week our speaker is Ignat Soroko of  Louisiana State University.
> Links and details are below.
>
> 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
> *Title: *Groups of type FP: their quasi-isometry classes and homological
> Dehn functions
>
> *Abstract: *There are only countably many isomorphism classes of finitely
> presented groups, i.e. groups of type $F_2$. Considering a homological
> analog of finite presentability, we get the class of groups $FP_2$. Ian
> Leary proved that there are uncountably many isomorphism classes of groups
> of type $FP_2$ (and even of finer class FP). R.Kropholler, Leary and I
> proved that there are uncountably many classes of groups of type FP even up
> to quasi-isometries. Since `almost all' of these groups are infinitely
> presented, the usual Dehn function makes no sense for them, but the
> homological Dehn function is well-defined. In an on-going project with
> N.Brady, R.Kropholler and myself, we show that for any integer $k\ge4$
> there exist uncountably many quasi-isometry classes of groups of type FP
> with a homological Dehn function $n^k$. In this talk I will give the
> relevant definitions and describe the construction of these groups. Time
> permitting, I will describe the connection of these groups to the Relation
> Gap Problem.
>
>
> See you on Thursday!
>
> 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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