NSF/CBMS Regional Conference in the Mathematical Sciences - Ergodic Ramsey Theory: A Dynamical Approach to Static Theorems - Summer 2008

NSF/CBMS 数学科学区域会议 - 遍历拉姆齐理论：静态定理的动态方法 - 2008 年夏季

• 批准号: 0735307
• 负责人: Patrick Coulton
• 金额: $ 2.73万
• 依托单位: Eastern Illinois University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-01-01 至 2008-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0735307&HistoricalAwards=false
• 关键词: NSF; CBMS; Regional; Conference; Mathematical

Ergodic Ramsey theory was initiated in 1977 when H. Furstenberg proved a far reaching extension of the classical Poincare recurrence theorem and derived from this extension Szemeredi's theorem. Furstenberg's approach to Szemeredi's theorem not only revealed the dynamical underpinnings of this seemingly static result, but it also indicated a method which quickly led to impressive advances such as Furstenberg-Katznelson's multidimensional extension of Szemeredi's theorem, Bergelson-Leibman's polynomial extensions of Szemeredi's theorem and the Hales-Jewett theorem as well as the recent spectacular work of B. Green and T. Tao on arithmetic progressions in primes.The conference title is "Ergodic Ramsey Theory: A Dynamical Approach to Static Theorems." The conference will run from June 22 to June 28, 2008. Vitaly Bergelson will give a series of ten lectures providing an overview of the subject and the background necessary to promote research in this developing field. The subject of the conference will appeal to a diverse group of researchers working in combinatorics, number theory and dynamical systems. A special effort will be made to emphasize the many natural new directions of research and to make them attractive to young mathematicians.Vitaly Bergelson, a former student of Harry Furstenberg, has delivered lectures and mini-courses on the topic of Ergodic Ramsey theory at numerous conferences and workshops. He delivered an invited talk in the section "Ordinary Differential Equations and Dynamical Systems" at the International Congress of Mathematicians in Madrid in 2006. Professor Bergelson has published extensively in the areas of Ergodic Ramsey Theory, combinatorics and the theory of multiple recurrence. Vitaly Bergelson is currently a professor at the Ohio State University.

崇高的拉姆西理论始于1977年，当时弗斯滕伯格（H.弗斯滕贝格（Furstenberg Hales-Jewett Theorem以及B. Green和T. Tao最近在Primes中进行算术进展的壮观作品。会议标题是“ Ergodic Ramsey理论：静态定理的动态方法”。 该会议将于2008年6月22日至6月28日举行。VitalyBergelson将进行一系列的10次讲座，提供有关该主题的概述和促进该发展领域研究所必需的背景。会议的主题将吸引一组从事组合学，数量理论和动态系统的研究人员。将采取特殊的努力来强调许多自然的研究方向，并使其对年轻的数学家有吸引力。他于2006年在马德里国际数学家国际大会的“普通微分方程和动力系统”节中发表了一场邀请的演讲。伯格森教授在崇高的拉姆西理论，组合学和多重重复理论的领域中广泛发表。 Vitaly Bergelson目前是俄亥俄州立大学的教授。