Daniel Tsodikovich (Institute of Science and Technology, Austria):

Title: Locally maximizing orbits for billiards

Abstract: The set of locally maximizing orbits is an important feature of exact twist maps, using which we can study the integrability of the system. 
In this talk, we give a condition for two generating functions of the same twist map to have the same sets of locally maximizing orbits. We show that 
the billiard system satisfies this condition. As an application, we give a quantitative version of the rigidity result for integrability of billiards 
by Bialy and Mironov. Joint work with Misha Bialy.