3-7【Jungsoo Kang】Convex domains and minimal periodic orbits

Starshaped domains in Euclidean space are symplectic manifolds with boundaries. Many symplectic invariants for starshaped domains are constructed using periodic orbits of natural dynamics on the boundaries. Interestingly, several conjectures and results suggest that, among starshaped domains, convex domains exhibit additional rigidity phenomena. Such distinguished properties are often formulated in terms of minimal periodic orbits. This talk will serve as an introduction to this intriguing story.