Seminar meets Tuesdays at 4:30 in BP 101 in the Tufts Math Department. You can subscribe to the GGTT mailing list here. In Fall 2017, the seminar organizers are Robert Kropholler and Kim Ruane.

 

Date Name Title
Jan 30 Rose Morris-Wright Artin Groups and the Clique-Cube Complex
Abstract: Artin groups form a large class of groups including braid groups, free groups, and free abelian groups. They are related to Coxeter groups and have nice geometric properties. However many questions about the properties of Artin groups remain unanswered. In this talk, I will introduce the clique-cube complex, a CAT(0) cube complex constructed from a given Artin group, similar to the Deligne complex. I will discuss some of the properties of this cube complex, as well as how it can be used to show that a large class of Artin groups have trivial center and are acylindrically hyperbolic.
Feb 6 Moon Duchin The Geometry of Redistricting
Feb 13 Matt Zaremsky Simple groups of type \textrm{F}_{n-1} but not \textrm{F}_n
Abstract: I will discuss joint work with Rachel Skipper and Stefan Witzel, in which we prove that for any n there exist simple groups of type \textrm{F}_{n-1} but not \textrm{F}_n . This result is new for all n>2; for example we now have the first known finitely presented simple groups that are not of type \textrm{F}_3. Our examples in particular provide an infinite family of finitely presented simple groups that are pairwise non-quasi-isometric. The only previously known such family, due to Caprace-Rémy, consists of non-affine Kac-Moody groups over finite fields. Our examples arise from certain Nekrashevych groups, in the extended family of Thompson’s groups.
Feb 20 Kathryn Mann TBA
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Feb 27 No Seminar No Seminar
Mar 6 TBA TBA
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Mar 13 No Seminar No Seminar
Mar 20 No Seminar No Seminar
Mar 27 Radhika Gupta TBA
Abstract:TBA
Apr 3 Francis Bonahon TBA
Abstract:TBA
Apr 10 TBA TBA
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Apr 17 TBA TBA
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Apr 24 Angelica Deibel TBA
Abstract:TBA
May 1 Tarik Aougab TBA
Abstract:TBA