Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture by the instructor covers the properties of curves with Poritsky property and Liouville nets in billiards. It discusses caustics, Birkhoff integrability, Graves property, and the relationship between Poritsky and Liouville properties. The lecture also explores the conservation laws for billiard actions, the string construction method, and the concept of Liouville nets. Various theorems and results related to billiards on constant curvature surfaces are presented, along with examples and applications in the general Riemannian context.