Members’ Seminar

Length and volume in symplectic geometry

Symplectic capacities are measurements of symplectic size. They are often defined as the lengths of certain periodic trajectories of dynamical systems, and so they connect symplectic embedding problems with dynamics. I will explain joint work showing how to recover the volume of many symplectic 4-manifolds from the asymptotics of a family of symplectic capacities, called "ECH" capacities. I will then explain how this asymptotic formula was used by Asaoka and Irie to prove the following dynamical result: for a C^{\infty} generic diffeomorphism of S^2 preserving an area form, the union of periodic points is dense

Date & Time

October 21, 2019 | 2:00pm – 3:00pm

Location

Simonyi Hall 101

Speakers

Daniel Cristofaro-Gardiner

Affiliation

University of California, Santa Cruz; von Neumann Fellow

Event Series

Categories