动力系统讨论班

题目：GIT quotients and symmetric periodic orbits

报告人：Urs Frauenfelder德国奥格斯堡大学

摘要：This is joint work with Agustin Moreno and Dayung Koh. The restricted three-body problem is invariant under various antisymplectic involutions. These real structures give rise to the notion of symmetric periodic orbit which simultaneously have an open string interpretation as a Hamiltonian chord as well as a closed string interpretation as a periodic orbit. This makes the bifurcation analysis of symmetric periodic orbits very intriguing since under bifurcations two local Floer homologies are invariant, the periodic one as well as the Lagrangian one. In this talk I explain how methods from symmetric space theory can help to extract efficient datas from reduced monodromy matrices of periodic orbits helping to analyse the possible bifurcation patterns.

报告时间：2025年8月19日（星期二） 10:30-11:30

报告地点：教二楼613

联系人：孙善忠