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Towards a general approach to the central configuration finiteness problem

2018/10/15 10:07  点击:[]

报告人: Marshall Hampton (University of Minnesota, Duluth)

 

 :2018年10月18日   16:30--17:30

 

 :理科楼 LA106

 

 : Determining properties of central configurations of the N-Body Problem is an old but fruitful area of

mathematics.Previous approaches to proving finiteness results for central configurations of the N-body problem do not appear to scale well as the number of bodies is increased.The current best result is for the 5-body problem, and it does not completely prove the finiteness in that case.We hope to develop alternative methods by studying the deformation of the problem through a more general (homogeneous) potential and exploiting Morse theory.Several theorems on the regular polygon in this context will be presented, and many conjectures.

 

报告人简介:Marshall Hampton, 1994年毕业于斯坦福大学,取得数学与荣誉物理学科科学士学位(B.S., Mathematics and Honors in Physics),2002年在华盛顿大学取得博士学位,现任教于明尼苏达大学Duluth分校数学与统计学院。 Marshall Hampton教授是国际上知名的多体问题专家,其博士后期间与导师Richard Moeckel 教授合作解决了牛顿4体问题中心构型的有限性猜想,该论文发表在顶尖数学刊物《Inventions Mathematicae》上。

 

学院联系人:王智强

 

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