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.