Upcoming Events
Geometry MMA Seminar: Extensions of finitely generated Veech groups
Mar 17, 2025, 10:30 - 11:30 AM
Speaker: Eliot Bongiovanni, Rice University
Title: Extensions of finitely generated Veech groups
Abstract: Given a closed surface S, a subgroup G of the mapping class group of S has an associated extension group Γ, which is the fundamental group of an S-bundle. A general problem is to infer features of Γ from G: I take G to be a finitely generated Veech group and show that Γ is hierarchically hyperbolic. This is a generalization of results from Dowdall, Durham, Leininger, and Sisto regarding lattice Veech groups. After a quick primer on hyperbolic plane geometry, flat surfaces, and Veech groups, the main research content is a “proof by picture” to construct a hyperbolic space Ê on which Γ acts nicely.
Time: Monday, March 17, 2025 – 10:30am-11:30am
Place: Exploratory Hall, Room 4208