Symplectic Dynamics Seminar

On Conjugacy of Convex Billiards

There are indications that in the 80s Guillemin posed a question: If billiard maps are conjugate, can we say that domains are the same up to isometry? On one side, we show that conjugacy of different domains can't be C^1 near the boundary. In particular, billiard maps of the circle and an ellipse are both analytically integrable, but not C^1 conjugate. On the other side, if conjugate near the boundary s smoother, then domains are the same up to isometry. (This is joint work with A. Sorrentino.)

Date & Time

January 25, 2012 | 2:00pm – 3:00pm

Location

S-101

Affiliation

Pennsylvania State University; Member, School of Mathematics

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