2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111632In this work we bring together tools and ideology from two different fields, Symplectic Geometry and Asymptotic Geometric Analysis, to arrive at some new results. Our main result is a dimension-independent bound for the symplectic capacity of a convex body by its volume radius.Symplectic GeometryFunctional Analysis53D05; 53C15; 46B07; 52A20; 46B20text