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Title:
Symplectic Capacities of Domains Close to the Ball and Banach-Mazur Geodesics in the Space of Contact Forms
Speaker:
Abstract:
An old open question in symplectic topology is whether all normalized capacities coincide on convex bounded domains in the standard symplectic vector space. I will discuss this question for domains which are close to the Euclidean ball and its connection with the geometry of the space of contact forms with a Banach-Mazur pseudo-metric. This talk is based on a recent joint work with Gabriele Benedetti and Oliver Edtmair.
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