Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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An integrable billiard close to an ellipse of small eccentricity is an ellipse

Jacopo De Simoi

created by daniele on 16 Jul 2015

20 jul 2015 -- 11:30

Sala Conferenze, Collegio Puteano, Pisa


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

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