Alex Wright - Minicourse - Lecture 5
Channel: UMD Mathematics
Date: 19/09/2017

Alex Wright
Dynamics, geometry, and the moduli space of Riemann surfaces

We will discuss the GL(2,R) action on the Hodge bundle over the moduli space of Riemann surfaces. This is a very friendly action, because it can be explained using the usual action of GL(2,R) on polygons in the plane, but also exhibits remarkable richness and connections to diverse areas of mathematics. An "easy reading" short introduction to the area is available at http://web.stanford.edu/~amwright/BilliardsToModuli.pdf

The lectures will cover some topics from the more in depth survey http://web.stanford.edu/~amwright/StonyBrookSurvey.pdf as well as some other topics such as hyperbolicity of the Teichmuller geodesic flow and possibly some more recent developments.