学术报告：Syzygy sequences of the N-center problem

中科院数学与系统科学研究院

数学研究所

动力系统研究中心

学术报告会

报告人：陈国璋 教授（清华大学，台湾）

题  目：Syzygy sequences of the N-center problem

时  间：12.11（星期四）, 16:00--17:00

地  点：数学院南楼N913室

摘要:

In this talk we consider the N-center problem and discuss syzygy sequences which can be realized by minimizers of the Lagrangian action functional, and count the number of such syzygy sequences. In particular, we show that the number of realizable syzygy sequences of length $\ell\geq2$ for the 3-center problem is at least $F_{\ell+2}-2$, where $\{F_n\}$ is the Fibanocci sequence. Moreover, with fixed $\ell$ the density of realizable syzygy sequences of length $\ell$ for the N-center problem approaches 1 as N increases to infinity. This is a joint work with Guowei Yu.