报 告 人：严夺魁 教授
报告题目：Exclusion ofquadruple collisions in minimizers of N-body problem
报告时间：2021年12月11日（周六）下午16：00--17：00
报告地点：腾讯会议（会议ID：304 112 394）
主办单位：数学与统计学院、科学技术研究院
报告人简介：
严夺魁，男，北京航空航天大学数学与系统科学学院教授，主要研究领域是N体问题，指标迭代理论，哈密顿系统等。
报告摘要：
Variationmethod has been one of the important tools in studying periodic orbits of theN-body problem. In this talk, we consider minimizers connecting two freeboundaries and study possible quadruple collisions under the following foursymmetric configurations: isosceles trapezoid configuration, rectangularconfiguration, double isosceles configuration and diamond configuration.Whenever the boundary configuration of four bodies coincides with one of thefour symmetric configurations, we show that these four bodies are free ofquadruple collision on that boundary set. As its applications, we show theexistence of several sets of periodic orbits in the planar four-body andfive-body problems.
邀 请 人：李杰