CRM: Centro De Giorgi
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“LEANING TORI” An Hamiltonian Event under the Tower

On dynamical spectral rigidity of planar domains

speaker: Vadim Kaloshin (University of Maryland)

abstract: Consider a convex domain on the plane and the associated billiard inside. The length spectrum is the closure of the union of perimeters of all period orbits. The length spectrum is closely related to the Laplace spectrum, through the wave trace and the well-known question: "Can you hear the shape of a drum?'' A domain is called dynamically spectrally rigid if any smooth deformation preserving the length spectrum is an isometry. During the talk I will discuss recent results on dynamical spectral rigidity of convex planar domains.

Thu 23 May, 14:30 - 15:20, Aula Dini
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