Higher symplectic capacities

Higher symplectic capacities - Kyler Siegel

Kyler Siegel
Columbia University
February 25, 2019
I will describe a new family of symplectic capacities defined using rational symplectic field theory.
These capacities are defined in every dimension and give state of the art obstructions for various "stabilized" symplectic embedding problems such as one ellipsoid into another. They can also be described via symplectic cohomology and are related to counting pseudoholomorphic curves with tangency conditions. I will explain the basic idea of the construction and then give some computations, structural results, and applications.