Conference: Contemporary Combinatorics 2010

会议：当代组合学 2010

• 批准号: 0964807
• 负责人: Bela Bollobas
• 金额: $ 2万
• 依托单位: University of Memphis
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-02-15 至 2011-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0964807&HistoricalAwards=false
• 关键词: Conference; Contemporary; Combinatorics; 2010

This conference will bring together a group of outstanding mathematicians who work on topics loosely related to combinatorics, understood in the widest sense. The meeting will give a chance to mathematicians from the Mid-South to benefit not only from the lectures but also from personal contacts with the speakers. This is bound to be very inspiring for all the participants, especially for those who otherwise do not do not have a chance to come into close contact with some of today's the leading mathematicians. The main speaker at the conference is Gregory Margulis of Yale University, who has done much brilliant work in combinatorics, differential geometry, ergodic theory, dynamical systems and discrete subgroups of Lie groups. For his great contributions to mathematics he was awarded a Fields Medal in 1978, and a Wolf Prize in 2005. There will be several other excellent mathematicians and speakers at the meeting; they have been chosen because they are not only powerful research mathematicians, but also wonderful expositors and very approachable people. Among other speakers, we shall have Alexander Barvinok of University of Michigan, who has proved outstanding results about distance geometry, convexity and algorithms related to them; Ralph Faudree, one of the most frequent collaborators of the late Paul Erdos, who has done much work on Ramsey theory and extremal graph theory; Oliver Riordan of the University of Oxford, one of the most brilliant combinatorialists in the world, who has contributed to many areas, most recently to the theory of convergent sequences of sparse graphs; Laszlo Szekely of the University of South Carolina, who is well known for his very elegant contributions to discrete geometry; Slava Krushkal of the Unversity of Virginia, who has done outstanding work on polynomials of surfaces related to the Tutte polynomial; Tsz Ho Chan of the University of Memphis, the young analytic number theorist, who has worked on pair correlation of the zeros of the Riemann zeta function, diophantine approximation and the distribution of primes, Andras Gyarfas of the Computer and Automation Institute in Budapest, the prolific combinatorialist, who has done much work on applications of Szemeredi's Lemma, and Jean-Paul Thouvenot, a Director at CNRS in Paris, one of the foremost people working on ergodic theory and dynamical systems. Two of the lectures will be aimed at a general audience, including good high school students. In the first lecture, Ralph Faudree will not only introduce the audience to the immense contributions Paul Erdos made to mathematics, but will also paint a personal picture of Erdos, one of the most colourful mathematicians of the 20th century. In the second lecture Gregory Margulis will attempt to bring difficult mathematical ideas concerning geometry within reach of the audience. Unlike the East Coast or the Bay Area on the West Coast, the Mid-South cannot boast of many high-level mathematical conferences; the Contemporary Combinatorics 2010 meeting in Memphis goes some way towards redressing the balance. The formula whereby personal contacts between the lecturers and the other participants is greatly encouraged has been found very successful so far, so this is what we are planning for this year as well. There is no doubt that listening to lectures by Gregory Margulis, Alexander Barvinok, Oliver Riordan and others, and, especially, talking to them during the conference will be very inspiring for young and established mathematicians alike.

这次会议将聚集一群杰出的数学家，他们的研究主题与组合数学松散相关，从最广泛的意义上来说。这次会议将为中南地区的数学家提供一个机会，不仅可以从讲座中受益，还可以从与演讲者的个人接触中受益。这对于所有参与者来说肯定是非常鼓舞人心的，特别是对于那些没有机会与当今一些顶尖数学家进行密切接触的人来说。会议的主讲人是耶鲁大学的Gregory Margulis，他在组合学、微分几何、遍历理论、动力系统和李群的离散子群方面做出了许多出色的工作。由于他对数学的巨大贡献，他于 1978 年被授予菲尔兹奖，并于 2005 年被授予沃尔夫奖。会议上还将有其他几位优秀的数学家和演讲者；他们之所以被选中，是因为他们不仅是强大的研究数学家，而且还是出色的解释者和非常平易近人的人。在其他演讲者中，我们将有密歇根大学的Alexander Barvinok，他在距离几何、凸性及其相关算法方面证明了杰出的成果； Ralph Faudree，已故 Paul Erdos 最频繁的合作者之一，他在 Ramsey 理论和极值图论方面做了很多工作；牛津大学的 Oliver Riordan，世界上最杰出的组合学家之一，对许多领域做出了贡献，最近对稀疏图收敛序列理论做出了贡献；南卡罗来纳大学的 Laszlo Szekely，因其对离散几何的杰出贡献而闻名；弗吉尼亚大学的 Slava Krushkal，在与 Tutte 多项式相关的曲面多项式方面做出了杰出的工作；孟菲斯大学的 Tsz Ho Chan 是一位年轻的分析数论学家，他研究了黎曼 zeta 函数零点的配对相关性、丢番图近似和素数分布；布达佩斯计算机与自动化研究所的 Andras Gyarfas多产的组合学家，​​在 Szemeredi 引理的应用方面做了很多工作，Jean-Paul Thouvenot 是巴黎国家科学研究中心 (CNRS)，是研究遍历理论和动力系统的最重要的研究人员之一。其中两场讲座将针对普通观众，包括优秀的高中生。在第一场讲座中，拉尔夫·福德里不仅将向观众介绍保罗·埃尔多斯对数学的巨大贡献，还将描绘出埃尔多斯这位20世纪最丰富多彩的数学家之一的个人形象。在第二讲中，格雷戈里·马古利斯将尝试向观众介绍有关几何学的困难数学思想。与东海岸或西海岸的湾区不同，中南地区并没有很多高水平的数学会议； 2010 年在孟菲斯举行的当代组合学会议在一定程度上纠正了这种平衡。到目前为止，我们发现大力鼓励讲师和其他参与者之间的个人接触的方式非常成功，所以这也是我们今年的计划。毫无疑问，聆听 Gregory Margulis、Alexander Barvinok、Oliver Riordan 等人的讲座，特别是在会议期间与他们交谈，对于年轻和成熟的数学家来说都是非常鼓舞人心的。