12-22【Richard Hind】腾讯会议 Geometry&Topology Seminar系列讲座之042


告题目:Symplectic embeddings and Lagrangian isotopies

报告人:Richard Hind(University of Notre Dame)

时间:2022年12月22日 10:00-11:00

地点:腾讯会议号:948 667 589,无需密码


We will describe the symplectic embedding problem, its motivation in classical mechanics, and the Fibonacci staircase giving a complete solution for 4 dimensional ellipsoids. Most embedding questions are open in higher dimension, but there has been some progress on the stabilized problem. This considers products of 4 dimensional domains with Euclidean space and already exhibits new phenomena, like catalyst maps, not seen in dimension 4.

Many theorems in symplectic geometry can be interpreted as rigidity results for Lagrangian submanifolds. The talk will conclude by outlining joint work with Jun Zhang which seems to relate stabilized embeddings to Lagrangian isotopies.