Recent developments on ergodic properties of translation flows.

Seminar: 
Group Actions and Dynamics
Event time: 
Monday, April 15, 2013 - 12:30pm to 1:30pm
Location: 
431 DL
Speaker: 
Rodrigo Trevino
Speaker affiliation: 
Cornell
Event description: 

The geodesic flow on a flat 2-dimensional torus is an example of a translation flow and all ergodic properties of this system are well-understood. For translation flows on flat surfaces of higher genus some things are known and some are not. I will talk about some recent results concerning the ergodic properties of translation flows for flat surfaces of finite area. These include surfaces of finite area but of infinite topological type. I will also discuss their relationship with orbits with optimal escape rate for the Teichmuller (geodesic) flow on the moduli space of flat surfaces.