Right-angled billiards and moduli spaces of quadratic differentials

Geometry & Topology
Event time: 
Thursday, November 1, 2007 - 12:30pm to Wednesday, October 31, 2007 - 8:00pm
431 DL
Jayadev Athreya
Speaker affiliation: 
Event description: 

In joint work with A. Eskin and A. Zorich, we study the asymptotics of the number of closed trajectories for billiards in polygons with right-angles. We will show how this leads to the calculation of volumes of moduli spaces of meromorphic quadratic differentials on the Riemann sphere.