Fall 2021 – Now in hybrid.
Our seminar meets Tuesdays at 4:30 in Braker Hall 222, and this semester is hybrid. You can subscribe to the GGTT mailing list at https://elist.tufts.edu/sympa/info/ggtt for details and announcements. The seminar organizers are Ivan Levcovitz, Kim Ruane, Lorenzo Ruffoni and Genevieve Walsh.
|Sept 14||Lorenzo Ruffoni|
|Graphical splittings of Artin kernels|
Abstract: A main feature of the theory of right-angled Artin groups (RAAGs) consists in the fact that the algebraic properties of the group can be described in terms of the combinatorial properties of its defining graph. This idea carries over to the study of Artin kernels, i.e. subgroups of RAAGs obtained as kernels of maps to the integers. For some specific classes of chordal graphs, we obtain a sharp structural dichotomy for the Artin kernels. We will discuss some applications to the study of splittings, fibrations, and BNS invariants of these groups. This talk is based on joint work with M. Barquinero and K. Ye, and joint work with Y.-C. Chang.
|Sept 21||Thomas Ng|
|Uniformly controlling growth of subgroups in group extensions|
Abstract: Growth of finitely generated groups studies the cardinality of balls as the radius grows. While precise growth rates are generating set dependent, it is sometimes possible to uniformly control the growth rates of all generating sets. I will discuss both geometric and algebraic tools that relate subgroup and quotient structure of a group to bounding growth rates. Using these ideas, I will discuss joint work with Robert Kropholler and Rylee Lyman proving an exponential growth gap for subgroups generated by automorphisms of one-ended hyperbolic groups.
|Sept 28||Ashani Dasgupta|
|Local connectedness of Bowditch Boundary|
Abstract: Bowditch associated a topological space ∂G to Relatively Hyperbolic Group G. Topological information about ∂G is often useful to understand algebraic information about the group G. In this talk we will discuss the background and also sketch a proof of the following theorem that resolves a 20-year old open question in. Geometric Group Theory:
If G is a relatively one-ended, relatively hyperbolic group then ∂G is locally connected.
Earlier Bowditch proved the local connectedness of ∂G with a more restricted hypothesis. We will sketch the proof of a more general result.
|Oct 7 (Thursday!)||Michelle Chu|
|Oct 12|| Carolyn Abbott |
|Oct 19||Beibei Liu|
|Oct 26||Bena Tshishiku|
|Nov 2||Marissa Loving |
|Nov 23|| ||TBA|