Event Type:

Number Theory Seminar

Date/Time:

Tuesday, April 26, 2016 - 16:00 to 17:00

Location:

StAg 263

Abstract:

There is a discrete subgroup of SL(2,R) corresponding to the topological automorphisms of a translation surface that preserve its affine structure. This group is called the Veech group of the translation surface for results by William Veech (1989) relating its size to the dynamics of geodesic flow on the surface. I will introduce these concepts and discuss my work to identify a finite number of measurements that can be taken on the surface in order to obtain the finite generating set for the large Veech group setting.