Proposed Conference Support: Ergodic Theory with Connections to Arithmetic

2013年6月3日至7日，“与算术有关的遍历理论”国际会议将在希腊伊拉克利翁的克里特岛大学举行。在过去的十年里，遍历理论已经发展并向新的方向传播。遍历理论的新应用得到了发展，技术被引入到这门学科中，并且与数学的其他领域建立了多种联系。特别是与组合学和数论的紧密联系已经发展起来，导致活动的爆发。除了关注最近的发展和新的开放问题外，会议还将汇集使用遍历理论解决组合学和数论问题的数学家。这笔经费将用于支持美国数学家参加会议。预计大多数世界上具有组合或数论色彩的遍历理论专家将出席这次会议，以及许多更年轻的以色列和欧洲参与者。因此，它代表了一个独特的机会，在遍历理论中建立新的联系和进步。在促进国际合作和提高美国数学的进步方面，这将对美国参与者有实质性的好处。研究生、初级教师和数学领域代表性不足的群体，如果无法获得其他旅行基金，将优先获得资助。

From June 3-7, 2013, the international conference ``Ergodic Theory with Connections to Arithmetic" will be held at the University of Crete in Heraklion, Greece. In the last ten years, ergodic theory has developed and spread into new directions. New applications of ergodic theory have developed, techniques have been imported to the subject, and multiple connections have been developed with other areas of mathematics. Particularly strong connections with combinatorics and number theory have been developed, leading to an explosion of activity. In addition to focusing on recent developments and new open problems, the meeting will bring together mathematicians that use ergodic theory to solve problems in combinatorics and number theory.This grant will support participation in the conference for mathematicians based in the United States. It is expected that most world experts in ergodic theory with a combinatorial or number theoretic flavor will be present at this conference, as well as numerous more junior Israeli and European participants. As such, it represents a unique opportunity to make new connections and progress in ergodic theory. It will be of substantial benefit to the US participants in terms of stimulating international collaboration and enhancing the advancement of US mathematics. Graduate students, junior faculty, and underrepresented groups in mathematics who do not have access to other travel funds will be given priority for funding.