Conference: Contemporary Combinatorics 2007

会议：当代组合学 2007

• 批准号: 0715174
• 负责人: Bela Bollobas
• 金额: $ 1.94万
• 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: 2007
• 资助国家: 美国
• 起止时间: 2007-03-01 至 2008-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0715174&HistoricalAwards=false
• 关键词: Conference; Contemporary; Combinatorics; 2007

The aim of this conference is to bring together a group of outstanding mathematiciansloosely connected to combinatorics, understood in the widest sense. The meeting will givea chance to mathematicians from the Mid-South to benefit not only from the lectures butalso from personal contacts with the speakers.The main speaker at the conference is one of the most distinguished mathematicians today,Peter Lax of the Courant Institute in New York, the recipient of the National Medal ofScience in 1986, the Wolf Prize in 1987, and the Abel Prize in 2005. Very accurately,he has been described as the most versatile mathematician today. He started in puremathematics, but his greatest contributions have been to to the theory and applicationof partial differential equations and to the computation of their solutions. In particular,he constructed explicit solutions of nonlinear hyperbolic systems and identified classes ofespecially well-behaved systems. Lax is also a wonderful expositor, the author of severalsuccessful books, and a very approachable man.There will be several other exciting speakers at the meeting; they have been chosen becausethey are not only excellent mathematicians, but also wonderful expositors and very approachablepeople. They include Vitaly Bergelson of Ohio State University, who has mademajor contributions to ergodic theory, especially to recurrence theory stemming from thework of Furstenberg inspired by Szemeredi's theorem on arithmetic progressions; YuvalPeres from Microsoft Research and UC Berkeley, one of the most notable people workingon combinatorial aspects of probability theory; Sasha Kostochka from the University ofIllinois at Urbana-Champaign, a very powerful mathematician who is carrying the torchfor extremal combinatorics; Ralph Faudree from the University of Memphis, one of themost frequent collaborators of Paul Erdos, an expert on Ramsey-type problems; StephanieGerke of ETH in Zurich, who has done beautiful work on the interface of pure mathematicsand computer science; Tom Trotter of Georgia Tech, one of the founders of the moderntheory of partially ordered sets; Boris Pittel from Ohio State University, one of the bestpeople working on probabilistic combinatorics; and Mark Walters from the University ofCambridge, England, who has proved much about random bootstrap percolation and randomgeometric graphs. Andr'as Gy'arf'as from Budapest will give a special 'public' lectureaimed at a very wide audience, including some of the best high school students from thearea.Unlike the East Coast or the Bay Area on the West Coast, the Mid-South cannot boast ofmany high-level mathematical conferences; the Contemporary Combinatorics 2007 meetingin Memphis goes some way towards redressing the balance. The formula whereby personalcontacts between the lecturers and the other participants is greatly encouraged was foundto be very successful a year ago, and this what we hope to do at the 2007 meeting aswell. There is no doubt that listening to lectures by Peter Lax, Vitaly Bergelson, YuvalPeres, and others, and, especially, talking to them during the conference will be veryinspiring for young and established mathematicians alike. The NSF grant is absolutelyvital for the success of the meeting; most of it will be used to help graduate students andsenior mathematicians come to Memphis so that they can benefit from the lectures andthe personal contact with the speakers.

这次会议的目的是聚集一群与组合数学有松散联系的杰出数学家，从最广泛的意义上理解。这次会议将为中南地区的数学家提供一个机会，他们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。会议的主要演讲者是当今最杰出的数学家之一，新州库朗研究所的彼得·拉克斯（Peter Lax）。约克，1986年国家科学奖章获得者，1987年沃尔夫奖获得者，2005年阿贝尔奖获得者。非常准确地，他被描述为最多才多艺的人今天的数学家。他从纯数学开始，但他最大的贡献是偏微分方程的理论和应用以及其解的计算。特别是，他构造了非线性双曲系统的显式解，并识别了表现特别好的系统的类别。拉克斯也是一位出色的阐释家、多本成功书籍的作者，而且是一位非常平易近人的人。会议上还将有其他几位令人兴奋的演讲者；他们之所以被选中，是因为他们不仅是优秀的数学家，而且还是出色的阐释家和非常平易近人的人。其中包括俄亥俄州立大学的维塔利·贝尔格尔森（Vitaly Bergelson），他对遍历理论做出了重大贡献，特别是对递归理论做出了重大贡献，该理论源于福斯滕伯格的工作，其灵感来自于塞梅雷迪的算术级数定理；来自微软研究院和加州大学伯克利分校的 YuvalPeres，他是概率论组合方面最著名的研究人员之一；伊利诺伊大学厄巴纳-香槟分校的萨沙·科斯托奇卡 (Sasha Kostochka)，一位非常有影响力的数学家，肩负着极值组合学的火炬；孟菲斯大学的拉尔夫·福德里（Ralph Faudree）是拉姆齐类问题专家保罗·厄多斯（Paul Erdos）最频繁的合作者之一；苏黎世联邦理工学院的 StephanieGerke，在纯数学和计算机科学的接口方面做出了出色的工作；佐治亚理工学院的 Tom Trotter，现代偏序集理论的创始人之一；俄亥俄州立大学的鲍里斯·皮特尔 (Boris Pittel)，概率组合学领域最优秀的研究人员之一；以及来自英国剑桥大学的 Mark Walters，他已经证明了很多关于随机引导渗滤和随机几何图的知识。来自布达佩斯的安德拉斯·贾法斯 (Andr'as Gy'arf'as) 将为广大听众举办一场特别的“公开”讲座，其中包括该地区一些最优秀的高中生。与东海岸或西海岸的湾区不同，中部地区-South不能夸耀拥有许多高水平的数学会议； 2007 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。一年前，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，这也是我们希望在 2007 年会议上所做的。毫无疑问，聆听 Peter Lax、Vitaly Bergelson、YuvalPeres 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。 NSF 拨款对于会议的成功绝对至关重要；其中大部分将用于帮助研究生和高级数学家来到孟菲斯，以便他们能够从讲座以及与演讲者的个人接触中受益。