Polygonal billiards, translations flows, and deforming geometries

CDSNS Colloquium
Monday, November 25, 2013 - 4:00pm
1 hour (actually 50 minutes)
Skiles 05
Cornell Univ./Tel Aviv Univ.
The three objects in the title come together in the study of ergodic properties of geodesic flows on flat surfaces. I will go over how these three things are intimately related, state some classical results about the unique ergodicity of translation flows and present new results which generalize much of the classical theory and also apply to non-compact (infinite genus) surfaces.