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Texas A&M University
Mathematics

Events for 11/25/2020 from all calendars

Student/Postdoc Working Geometry Seminar

iCal  iCal

Time: 11:00AM - 12:00PM

Location: zoom

Speaker: F. Gesmundo, MPI Leipzig

Title: cubics with Hilbert function 1771


Groups and Dynamics Seminar

iCal  iCal

Time: 12:00PM - 1:00PM

Location: online

Speaker: Ignat Soroko, Louisiana State University

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.