Geometry, Rigidity, and Group Actions

几何、刚度和群作用

• 批准号: 0734851
• 负责人: Benson Farb
• 金额: $ 2.4万
• 依托单位: University of Chicago
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-08-15 至 2008-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0734851&HistoricalAwards=false
• 关键词: Geometry; Rigidity; Group; Actions

AbstractAward: DMS-0734851Principal Investigator: Benson FarbThe conference "Geometry, Rigidity, and Group Actions" will bringtogether researchers in a cluster of fields related to actions oflattices in semisimple Lie groups. The subject's roots concernlinear representations of lattices, but developments in the pasttwo decades have established strong connections with a variety ofother topics, including ergodic theory, dynamics of group actionson compact manifolds, differential geometry, spaces ofnon-positive curvature, geometric group theory, symplecticgeometry, algebraic groups, unitary representation theory,operator algebras, and group cohomology. Our lectures willinclude contributions from all of these areas. We are holdingthe conference on the occasion of Robert J. Zimmer's 60thbirthday, in recognition of his work's dramatic impact on thegrowth of this area.The speaker list of this conference cuts across a variety ofclosely related areas of mathematics, and will presentparticipants with the opportunity to learn about recentdevelopments, important open questions, and the wide variety ofsuccessful techniques that are being applied. New developmentsare emerging rapidly and involve ideas from disparate areas ofmathematics, so conferences of this type are necessary to keepestablished researchers up to date, and are even more valuablefor young researchers who are entering this fast-paced,interdisciplinary research area. A Sunday-afternoon workshop willprovide younger scholars with an opportunity to present theirwork and discuss it with other conference participants.Additional information is available from the conference web siteat http://www.math.uchicago.edu/zimmer60/

“几何、刚性和群作用”会议将汇集半单李群中平面作用相关领域的研究人员。这门学科的根源与格的非线性表示有关，但在过去二十年的发展已经与各种其他主题建立了紧密的联系，包括遍历理论、紧流形群作用动力学、微分几何、非正曲率空间、几何群论、辛几何、代数群、酉表示理论、算子代数和群上同调。我们的讲座将包括所有这些领域的贡献。我们在罗伯特·齐默60岁生日之际召开会议，以表彰他的工作对这一领域的发展产生的巨大影响。本次会议的演讲者名单跨越了各种密切相关的数学领域，并将为与会者提供机会了解最新的发展，重要的开放性问题，以及正在应用的各种成功技术。新的发展正在迅速涌现，并且涉及来自不同数学领域的思想，因此这种类型的会议对于保持现有研究人员的最新状态是必要的，对于正在进入这个快节奏，跨学科研究领域的年轻研究人员来说更是有价值的。周日下午的研讨会将为年轻学者提供一个展示他们的工作并与其他与会者讨论的机会。更多信息可从会议网站http://www.math.uchicago.edu/zimmer60/获得