Conference on Ergodic Theory and Combinatorics

该奖项支持美国的研究人员和研究生参加2015年6月8日至6月12日在挪威克里斯蒂安桑德的阿格德大学举行的“遍历理论与组合学”会议。这次会议的主题是两种数学理论的融合。组合学中令人感兴趣的部分是拉姆齐理论。拉姆齐理论在完全随机的结构中找到了秩序，比如任意一组人之间的关系。遍历理论是统计力学背后的数学理论。这两个理论之间的紧密联系是意想不到的，自20世纪70年代末S发现以来，遍历拉姆齐理论已经成为一个日益活跃的研究领域。在格林、陶、霍斯特和克拉不到十年前的开创性工作之后，遍历拉姆齐理论领域的活动大大加快了。会议的主要主题是遍历理论、组合学、数论和傅立叶分析。遍历拉姆齐理论对所有这四个领域都有贡献，是一个完美的例子，说明了许多数学领域的相互作用如何能够促进进步。会议将重点介绍这一领域的最新发展，并向学生和新研究人员介绍许多悬而未决的问题。会议网址：www.uia.no/en/ergodic-theory-and-combinatorics-conference

This award supports the participation of U.S.-based researchers and graduate students in the conference "Ergodic Theory and Combinatorics," held at the University of Agder, Kristiansand, Norway from June 8 to June 12, 2015. The theme of the conference is the fusion of two mathematical theories. The part of combinatorics that is of interest is Ramsey theory. Ramsey theory finds order in completely random structures, such as the relationships among an arbitrary set of people. Ergodic theory is the mathematical theory behind statistical mechanics. The strong connection between the two theories is unexpected, and since its discovery in the late 1970's, Ergodic Ramsey Theory has become an increasingly vibrant area of research. The activity in the area of Ergodic Ramsey Theory area has greatly accelerated after the ground breaking work of Green, Tao, Host, and Kra less than a decade ago. The main theme of the conference is at the cross section of ergodic theory, combinatorics, number theory, and Fourier analysis. Ergodic Ramsey Theory has contributed to all four areas and serves as a perfect example of how the interplay of many areas of mathematics can facilitate progress. The conference will highlight recent developments in this area and introduce students and new researchers to many open questions.Conference web site: www.uia.no/en/ergodic-theory-and-combinatorics-conference