Dynamical Systems Seminar

Title: Billiards, dynamics, and the moduli space of Riemann surfaces
Speaker: Paul Apisa
Speaker Info: University of Michigan
Brief Description:
Special Note:

The Hodge bundle is the space whose points correspond to a Riemann surface equipped with a holomorphic 1-form. This space admits a GL(2, R) action whose dynamics governs the geometry of the moduli space of Riemann surfaces, an object of central importance in geometry, algebra, and physics. I will describe work, joint with Alex Wright, that classifies roughly half of all GL(2, R) orbit closures. I will also describe applications to deceptively simple sounding problems about billiards in polygons. Along the way I will highlight connections to algebraic geometry, homogeneous dynamics, and more.
Date: Monday, January 03, 2022
Time: 4:00pm
Where: Zoom
Contact Person: Aaron Brown
Contact email: awb@northwestern.edu
Contact Phone:
Copyright © 1997-2024 Department of Mathematics, Northwestern University.