Recent progress in Birkhoff conjecture for strictly convex billiard tables

Abstract: The famous Birkhoff conjecture claims that all the integrable planar billiard systems are those induced by convex domains with an ellipse or a circle as boundary. We will discuss the recent progress of Birkhoff conjecture, particularly, the results obtained for nearly elliptic domains. This talk is partially based on joint work with Kaloshin and Sorrentino.

Mathematics

Audience: researchers in the topic

ICCM 2020