Seminars & Colloquia Calendar

Download as iCal file


 Length and volume in symplectic geometry

 Daniel Cristofaro-Gardiner (UC Santa Cruz and IAS)

Location:  Hill 705
Date & time: Friday, 18 October 2019 at 4:00PM - 5:00PM

Abstract:  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. 

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.