理学院学术报告

发布时间:2016-10-18来源:天津工业大学浏览次数:324

报告人:孙兴平Xingping Sun

美国密苏里州立大学数学系教授,原系主任

报告题目:流形上的均衡测度和极小能量

Minimal Energy Point Sets and Equilibrium Measures on Manifolds

报告时间:20161027日下午3:00

报告地点:理学院学术报告厅(B327

报告内容简介:流形(例如球面或轮胎环面)表面大量均匀点的分布问题,近年来引起了纯数学家的关注。多年来,它一直是生物学家、化学家的一个中心研究课题。该问题在电气工程,物理学,病毒形态、分子结构、全球定位系统、压缩传感,静电场等众多领域都有应用。C60 的原子结构很像足球,展示了一个优雅的数学摸形和超稳定的分子组合。它的发现促使科学家推测超轻超强材料的分子结构。静电学中的定位球相同的点电荷,它们相对于库仑势法平衡是具有挑战性和有趣的现象。在数字通信中,信号通常是在数据包中传输的。过程类似于球形填料。基本的数学原理是丰富和广泛的,从抽象代数到势能分析和统计。在这次报告中,我们将对这些数学工具进行简短的检查,并讨论他们的应用程序。

The problem of distributing a large number of points uniformly on the surface of a manifold (e.g. the surface of a sphere or a doughnut) started out as a pure mathematical curiosity. Over the years, it has attracted the attention of biologists, chemists, electrical engineers, and physicists working in such diverse areas as viral morphology, molecular structure, global positioning system, compressed sensing, and electrostatics. The discovery of stable carbon-60 molecules with atoms arranged in a soccer ball pattern showcases an elegant mathematical structure, which has motivated scientists to hypothesize molecular structures of super-light and super-strong material. In electrostatics, locating identical point charges on sphere so that they are in equilibrium with respect to the Coulomb potential law is both challenging and fascinating. In digital communication, signals are often transmitted in packets. The process resembles sphere packing. The underlying mathematical principles are rich and broad, ranging from abstract algebra to potential analysis and statistics. In this talk, we will take a brief inspection of these mathematical tools and discuss their applications.

  

孙兴平教授简介:美国斯普林菲尔德,密苏里州立大学数学系教授,1981年河南师范大学获得学士学位,1984年西北大学获硕士学位,1990年在美国AustinTexas大学获博士学位,1990年入职密苏里州州立大学,1995年成为终身教授。孙兴平教授也曾任教于德克萨斯大学,莱斯特大学(英国),德克萨斯农工大学,范德堡大学(美国)等著名学府。他已撰写和合作撰写了五十多篇研究论文发表在高质量的期刊。

Xingping Sun is a professor of mathematics at Missouri State University, Springfield, USA. His degrees (all in mathematics) are B.S. from Henan Normal University, Xinxiang, China (1981); M.S from Northwestern University, Xi’an, China (1984); PhD from the University of Texas at Austin, USA (1990). He joined the Missouri State Faculty in 1990, and became a tenured full professor in 2000. He had held visiting positions at Texas A&M University (College Station, Texas), University of Texas at Austin, University of Leicester (U.K.), Vanderbilt University. He has authored and co-authored over fifty research papers published in high quality journals.

  

理学院

2016.10.18


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