Event Type:

Graduate Student Summer Seminar

Date/Time:

Wednesday, July 13, 2016 - 14:30 to 15:30

Location:

Kidder 364

Abstract:

Triangle groups are a special collection of discrete subgroups of PSL(2,R). They are formed by tessellating the Euclidean plane, sphere, or hyperbolic plane by reflecting across the sides of a triangle. We discuss several uses for the triangle groups. In particular, we will talk about a characterization of Riemann surfaces as quotient spaces via a subgroup of a triangle group; how triangle groups are related to dessins d'enfants; and some properties of one of the most interesting triangle groups: the 2,3,7 hyperbolic triangle group.