Billiards in quadrilaterals, Hurwitz spaces, and real multiplication of Hecke type

Members' Seminar
Topic:Billiards in quadrilaterals, Hurwitz spaces, and real multiplication of Hecke type
Speaker:Alexander Wright
Affiliation:Stanford University; Member, School of Mathematics
Date:Monday, November 30
Time/Room:2:00pm - 3:00pm/S-101
Video Link:https://video.ias.edu/membsem/2015-1130-Wright

After a brief introduction to the dynamics of the $\mathrm{GL}(2,\mathbb R)$ action on the Hodge bundle (the space of translations surfaces), we will give a construction of six new orbit closures and explain why they are interesting. Joint work with Alex Eskin, Curtis McMullen, and Ronen Mukamel.