Dynamical Systems seminar——Locally maximizing orbits in billiards

Speaker – Daniel Tsidikovich (ISTA)

Time – 25.3, 15:00, on zoom

Zoom Meeting ID: 844 0594 7424 (Passcode: 076895)

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.