Speaker: 姚远，南特大学

Inviter: 周正一副研究员

Title: Symplectic packings in higher dimensions

Language: Chinese

Time & Venue: 2024.12.25 14:30-15:30 南楼N818

Abstract: The problem of symplectically packing k symplectic balls into a larger one has been solved in dimension four, i.e. there is now a combinatorial criteria of when this is possible. However, not much is known about symplectic packing problems in higher dimensions. We take a step in this direction in dimension six, by considering a “stabilized” packing problem, i.e. we consider symplectically packing a disjoint union of four dimensional balls times a closed Riemann surface into a bigger ball times the same Riemann surface. We show this is possible if and only if the corresponding four dimensional ball packing is possible. The proof is a mixture of geometric constructions, pseudo-holomorphic curves, and h-principles. This is based on work with Kyler Siegel.