Geometrical finiteness and Veech subgroups of mapping class groups

Geometry & Topology
Event time: 
Tuesday, October 31, 2017 - 4:15pm to 5:15pm
Matt Durham
Speaker affiliation: 
Yale University
Event description: 

I will discuss work in progress with Dowdall, Leininger, and Sisto, in which we aim to develop a notion of geometrical finiteness for subgroups of mapping class groups. Motivated by the theory of convex cocompact subgroups, which are precisely those which determine hyperbolicsurface group extensions, I will describe some hyperbolic properties ofthe surface group extensions coming from lattice Veech subgroups.