Conference on Ergodic Theory and Combinatorics

该奖项支持美国的参与-基于研究人员和研究生在会议“遍历理论和组合”，在阿格德尔，克里斯蒂安桑大学举行，挪威从2015年6月8日至6月12日。会议的主题是两种数学理论的融合。组合学中最有趣的部分是拉姆齐理论。拉姆齐理论在完全随机的结构中发现了秩序，例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出乎意料的，自从它在20世纪70年代末被发现以来，遍历拉姆齐理论已经成为一个越来越有活力的研究领域。在不到十年前，绿色、陶、Host和Kra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。会议的主题是遍历理论，组合学，数论和傅立叶分析的交叉部分。遍历拉姆齐理论对所有四个领域都做出了贡献，并作为一个完美的例子，说明数学的许多领域如何相互作用，促进进步。会议将重点介绍这一领域的最新发展，并向学生和新的研究人员介绍许多开放的问题。会议网站：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