Convex Embedding of the rotating Kepler problem and the Birkhoff conjecture

学术报告

报告题目：Convex Embedding of the rotating Kepler problem and the Birkhoff conjecture

报告人：赵磊（特聘副研究员，南开大学陈省身数学研究所）

报告时间：2016年12月9日（星期五）下午 15:30-16:30

报告地点：创新园大厦 A1101

校内联系人：柳振鑫 教授      联系电话：84708351-8022

报告摘要: In this talk, I shall show that below the first critical energy level, a proper combination of the Ligon-Schaaf and Levi-Civita regularization mappings provides a convex symplectic embedding of the energy surfaces of the planar rotating Kepler problem into R4 endowed with its standard symplectic structure. A direct consequence is the dynamical convexity of the planar rotating Kepler problem, which has been established by Albers-Fish-Frauenfelder-van Koert by direct computations. I shall also explain its relationship with the Birkhoff conjecture about the existence of a global surface of section in the restricted planar circular three body problem.

This work is a result from a collaboration with Urs Frauenfelder (Augsburg) and Otto van Koert (Seoul).

报告人简介：赵磊，巴黎七大博士，现任南开大学陈省身数学研究所特聘副研究员。研究方向天体力学与辛几何。