Monday 20/7/2015, h 11:30-12:30
Sala Conferenze (Puteano, Centro De Giorgi)
Jacopo De Simoi (University of Toronto)
“AN INTEGRABLE BILLIARD CLOSE TO AN ELLIPSE OF SMALL ECCENTRICITY IS AN ELLIPSE”
Abstract: In 1927 G. Birkhoff conjectured that if a billiard in a strictly convex smooth domain is integrable, the domain has to be an ellipse (or a circle). The conjecture is still wide open, and presents remarkable relations with open questions in inverse spectral theory and spectral rigidity.
In the talk we show that a version of Birkhoff’s conjecture is true for
small perturbations of ellipses of small eccentricity.
This is joint work with A. Avila and V. Kaloshin