Seminari di Sistemi Dinamici Olomorfi 2014-2015

seminar: AN INTEGRABLE BILLIARD CLOSE TO AN ELLIPSE OF SMALL ECCENTRICITY IS AN ELLIPSE

speaker: Jacopo De Simoi (University of Toronto)

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

timetable:
Mon 20 Jul, 11:30 - 12:30, Sala Conferenze Centro De Giorgi
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