From Gromov-Witten Theory to the Closing Lemma - Shira Tanny

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar
Topic: From Gromov-Witten Theory to the Closing Lemma
Speaker: Shira Tanny
Affiliation: Institute for Advanced Study
Date: April 19, 2024
An old question of Poincaré concerns creating periodic orbits via perturbations of a flow/diffeomorphism. While pseudoholomorphic methods have successfully addressed this question in dimensions 2-3, the higher-dimensional case remains less understood. I will describe a connection between this question and Gromov-Witten invariants, which goes through a new class of invariants of symplectic cobordisms. This is a joint work with Julian Chaidez.