Dynamics, Geometry, and Number Theory

动力学、几何和数论

• 批准号: 1564365
• 负责人: Hee Oh
• 金额: $ 4.99万
• 依托单位: Yale University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1564365&HistoricalAwards=false
• 关键词: Dynamics; Geometry; Number; Theory

This award supports participation of US-based researchers in the conference "Dynamics, Geometry, and Number Theory," held at the Institut Henri Poincare in Paris from June 13 through June 17, 2016. The theory of dynamical systems is a major mathematical discipline closely intertwined with most of the main areas of mathematics. Originating in the work of Poincare, Birkhoff, and von Neumann in the beginning of the twentieth century, it continued to evolve throughout the century, branching out in many directions. In recent decades there have been many spectacular advances in the applications of dynamics to geometry and number theory. The goal of the conference is to bring together an excellent group of researchers from around the world to discuss new research results and explore new ideas.The conference will cover recent progress and developments of the theory of dynamical systems and its geometric and number-theoretic applications. In recent years there have been spectacular advances in the area, highlighting various connections between dynamics, rigidity, Diophantine approximation, combinatorics, and many other areas of mathematics. The organizers will take the opportunity to encourage more young researchers and junior faculties to work on dynamical systems and related research topics. For more details, see the conference web page: www.math.u-psud.fr/~paulin/Margulis2016.html

该奖项支持美国研究人员参加于2016年6月13日至6月17日在巴黎庞加莱研究所举行的“动力学、几何和数论”会议。动力系统理论是一个主要的数学学科，与数学的大多数主要领域密切相关。它起源于20世纪初庞加莱、伯克霍夫和冯·诺伊曼的工作，在整个世纪中继续发展，向许多方向分支。近几十年来，动力学在几何学和数论中的应用取得了许多惊人的进展。会议的目标是汇集来自世界各地的优秀研究人员，讨论新的研究成果，探索新的思路。会议将涵盖动力系统理论及其几何和数论应用的最新进展和发展。近年来，这一领域取得了惊人的进展，突出了动力学、刚性、丢番图近似、组合学和许多其他数学领域之间的各种联系。组织者将借此机会鼓励更多的年轻研究人员和初级教师从事动力系统和相关研究课题。欲了解更多详情，请访问会议网页：www.math.u-psud.fr/~paulin/Margulis2016.html