Special Year Research Seminar

A balanced convex domain in $R^n$ is a compact convex set that is invariant under the $(Z/2)^n$ action which flips the signs of the coordinates. In this talk, I will explain a construction of a simple symplectic embedding of a ball of capacity 4 into the product of $K$ and its polar body for every balanced convex domain $K$. If $K$ is a Hanner polytope, we also prove that this embedding is surjective.