Symplectic capacities of p-products

Abstract: In this talk we discuss symplectic capacities of convex domains and their behavior with respect to symplectic p-products. One application, by using a "tensor power trick", is to show that it is enough to prove Viterbo's volume-capacity conjecture in the asymptotic regime when the dimension is sent to infinity. In addition, we introduce a conjecture about higher order capacities of p-products and show that if it holds then there are no non-trivial p-decompositions of the symplectic ball.

differential geometrydynamical systemsgeometric topologysymplectic geometry

Audience: researchers in the topic

Geometry and Dynamics seminar

Series comments: On the week of the seminar, an announcement with the Zoom link is mailed to the seminar mailing list. To receive these e-mails, please sign up by writing to Lev Buhovsky (http://www.math.tau.ac.il/~levbuh/).