J. De Simoi, University of Toronto

On spectral rigidity for generic symmetric convex billiards

In this talk I will present a most recent result in the setting of length- spectral rigidity for convex billiards. In a joint work with A. Figalli and V. Kaloshin we show that there exists an open and dense set S of smooth convex axially-symmetric planar domains so that every non-isometric deformation of some D in S necessarily changes the length of a periodic orbit of the billiard in D.