An integrable billiard close to an ellipse of small eccentricity is an ellipse – Jacopo De Simoi (University of Toronto)


Sala Conferenze (Puteano, Centro De Giorgi).


In 1927 G. Birkhoff conjectured that if a billiard in a strictly convex smoothdomain is integrable, the domain has to be an ellipse (or a circle). Theconjecture is still wide open, and presents remarkable relations with openquestions in inverse spectral theory and spectral rigidity. In the talk we show that a version of Birkhoff’s conjecture is true for smallperturbations of ellipses of small eccentricity. This is joint work with A. Avila and V. Kaloshin

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