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Plane Permutations and Their Applications
日期:2019/12/18 15:42:41  发布:数理学院  浏览: 4644

时间:2019年12月23日(星期一)  下午15:00-16:00

地点:数理学院教2楼108室


报告题目:Plane Permutations and Their Applications

报告人:陈小锋

   

    报告摘要:In this talk, we first give an introduction to plane permutations which arise as a new way for representing one-face maps. Maps are important objects studied in many fileds, for instance, combinatorics, topological graph theory and mathematical physics. As results, we obtain recurrences enumerating one-face hypermaps and maps. Next, we present some applications. We provide a combinatorial proof of a Zagier-Stanley formula, answering a call of Stanley for combinatorial proofs. We also obtain an analogue of the Zagier-Stanley formula, which can be employed to prove a Du-Stanley formula, answering another call of Stanley. If time permits, we discuss another application to some genome sequence evolution problems as well.
    报告人简介:陈小锋,博士毕业于美国弗吉尼亚理工大学。目前就职于美国弗吉尼亚大学。之前从南开大学组合数学中心研究生毕业后,在华为担任无线研究工程师5年有余。期间著有畅销技术书《通信新读——从原理到应用》,是4G移动通信系统LTE里控制信道编码--双RM码--主要发明人。研究领域包括:代数与计数组合,网络动力系统,及在生物数学与复杂网络,信息论与无线通信的应用。至今,在本领域国际核心期刊, 包括《SIAM Journal on Discrete Mathematics》, 《SIAM Journal on Applied Dynamical Systems》, 《Linear Algebra and its Applications》, 《Electronic Journal of Combinatorics》等等, 发表论文10余篇;有美国授权专利10余篇,欧洲授权专利10篇左右,中国授权专利20篇左右。

 

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