Orateur
Alfonso Sorrentino
(Università Tor Vergata, Roma)
Description
This talk explores spectral rigidity phenomena appearing in billiard dynamics, with a focus on convex planar billiard-like systems, which include Birkhoff, Symplectic, Outer and Outer-length billiards.
I will present some new rigidity results for the associated action spectrum, which are linked to pointwise isoperimetric-type inequalities of Mather’s beta function. Notably, we will observe surprising distinctions in the case of Outer billiards. This work is joint with Misha Bialy and Stefano Baranzini.
Time permitting, I will also discuss analogous results for the stable norm of Riemannian metrics, based on joint work with Anna Florio and Martin Leguil.
