Workshop
Saddle connections on translation surfaces
- Samantha Fairchild (MPI Mathematics in the Sciences)
Abstract
A translation surface is, informally, a collection of polygons in the plane with parallel sides identified by translation to form a Riemann surface with a singular structure. Understanding the geometry and dynamics of flows on translation surfaces and their moduli spaces led to the development of many new and revolutionary techniques. We will overview some important techniques related to understanding the distribution of saddle connections as well as future directions.