数学研究所
学术报告
拓扑研讨班
Speaker: 姚远（南特大学）
Title: Symplectic packings in higher dimensions
Time&Venue: 2024年12月25日（星期三） 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.