Topology Seminar

Date: February 9, 2022

Time: 4:00PM - 5:00PM

Location: Zoom

Speaker: Marco Castronovo, Columbia University

Title: Liouville domains from Okounkov bodies

Abstract: Any smooth complex projective algebraic variety X can be made symplectic, by choosing an ample divisor D. A purely algebraic construction associates to D several convex polytopes, known as Okounkov bodies. I will describe how to get Liouville subdomains of X from top-dimensional Okounkov bodies, and why their boundary dynamics can be described in a combinatorial fashion. Time permitting, I will hint at potential applications to symplectic capacities and mirror symmetry for Fano manifolds.