Classical and quantum hyperbolic geometry and topology

经典和量子双曲几何和拓扑

• 批准号: 1522850
• 负责人: Ko Honda
• 金额: $ 4万
• 依托单位: University of California-Los Angeles
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-07-01 至 2016-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1522850&HistoricalAwards=false
• 关键词: Classical; quantum; hyperbolic; geometry; topology

A conference on classical and quantum hyperbolic geometry and topology will be held at the Universite Paris-Sud (Orsay) from July 6 to July 10, 2015. The aim of the conference is to bring together experts from the disparate fields which are connected to low-dimensional topology and to foster interactions among them as well as with junior mathematicians in those fields.The conference is concerned with the interface of several fields:(1) low-dimensional topology;(2) geometric structures on manifolds, particularly hyperbolic geometry;(3) Teichmuller theory --- classical, quantum, and higher;(4) representation theory; and(5) topological quantum field theory (TQFT) and quantum groups.The last four decades have revealed many deep connections among these subjects. The aim of this conference is to further explore and strengthen these connections by bringing together a very distinguished group of researchers, both from the US and Europe, who are working in or at the interface of these subjects. We expect that strong research talks at the conference will help encourage the researchers working in these disparate subjects to explore common ground and develop new avenues of research. We also expect that the conference will expose graduate students and early career mathematicians to the important developments in these areas. More information is available on the conference website: http://www.math.u-psud.fr/~paulin/Bonahon2015.html

关于经典和量子双曲几何和拓扑学的会议将于2015年7月6日至7月10日在南巴黎大学（奥赛）举行。这次会议的目的是把低维拓扑学相关的不同领域的专家聚集在一起，并促进他们之间以及与这些领域的初级数学家之间的相互作用。会议关注的是几个领域的接口：（1）低维拓扑学;（2）流形上的几何结构，特别是双曲几何;（3）Teichmuller理论--经典的、量子的和更高的;（4）几何学的发展。（4）表征理论;（5）拓扑量子场论（TQFT）和量子群。本次会议的目的是进一步探索和加强这些联系，汇集了来自美国和欧洲的一群非常杰出的研究人员，他们正在这些学科的界面上工作。我们希望会议上强有力的研究讨论将有助于鼓励在这些不同学科工作的研究人员探索共同点并开发新的研究途径。我们还希望会议将暴露研究生和早期职业数学家在这些领域的重要发展。 更多信息请访问会议网站：http://www.math.u-psud.fr/~paulin/Bonahon2015.html