Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

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.