Lecture: Monday, September 23, 2013 – Curtis T. McMullen

Curtis T. McMullen: Billiards and Moduli Spaces

The motion of a billiard ball on a rectangular table is related to complex analysis on a torus. Billiards in more general polygons can be studied using surfaces of higher genus.
We will present this connection as a gateway to current research on Riemann surfaces and their moduli spaces.