Geometry, Rigidity, and Group Actions

摘要奖：DMS-0734851 首席研究员：Benson Farb “几何、刚性和群作用”会议将汇集与半单李群中晶格作用相关领域的研究人员。 该学科的根源在于格子的线性表示，但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、紧流形上的群作用动力学、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 (Robert J. Zimmer) 60 岁生日之际举办这次会议，是为了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涵盖了各种密切相关的数学领域，将为与会者提供了解最新进展、重要的开放问题以及正在应用的各种成功技术的机会。 新的发展正在迅速出现，并且涉及来自不同数学领域的想法，因此这种类型的会议对于让知名研究人员了解最新情况是必要的，对于进入这个快节奏的跨学科研究领域的年轻研究人员来说更有价值。周日下午的研讨会将为年轻学者提供展示其工作并与其他会议参与者讨论的机会。更多信息可从会议网站 http://www.math.uchicago.edu/zimmer60/ 获取。

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/