偏微分方程研讨班：Progress on four-body central configurations

中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人： Zhifu Xie(The University of Southern Mississippi, USA)

题  目：Progress on four-body central configurations

时  间：2024.06.03（星期一）9:00-10:00

地  点：S813

摘 要: Central configurations play crucial roles in comprehending the solution structure and dynamic behavior of the N-body problem. The renowned Chazy-Wintner-Smale conjecture states that, for any given positive masses, there exists only a finite number of central configurations. While the conjecture has been verified for the planar 4-body problem and partially for the planar 5-body problem, its generalization remains a formidable challenge for 21st-century mathematicians. The precise enumeration of central configurations for the 4-body problem remains an ongoing pursuit. Particularly the classifications of planar 4-body central configurations have attracted numerous researchers exploring various notions of "symmetry" within configuration and mass spaces. In this presentation, we will review the findings regarding central configurations for the four-body problem, as well as our recent contributions to this field.