Conference: Groups Actions and Rigidity: Around the Zimmer Program

会议：团体行动和刚性：围绕 Zimmer 计划

• 批准号: 2349566
• 负责人: David Fisher
• 金额: $ 3.5万
• 依托单位: William Marsh Rice University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2024
• 资助国家: 美国
• 起止时间: 2024-04-01 至 2025-03-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2349566&HistoricalAwards=false
• 关键词: Conference; Groups; Actions; Rigidity; Around; Conference; Groups; Actions; Rigidity; Around

This NSF award provides support for US based participants to attend a sequence of workshops, to be held at Centre Internationale de Rencontres mathematique in Marseilles and the Insitut Henri Poincare in Paris in April-July 2024. These workshops are held in conjunction with a special semester Group actions and Rigidity: Around the Zimmer Program at IHP during this period. The goal of both the workshops and special semester are to bring together specialists working in a related cluster of timely and important topics in dynamics and geometry related to, actions of large groups or spaces with lots of symmetries. The primary purpose of the award is to provide travel funding to allow early career scholars from the US to participate in the workshops and the semester program.Highly symmetric manifolds traditionally play a central role in mathematics, ranging from number theory to dynamics to geometry. This research topic centers on a program put forward by Zimmer and Gromov to study manifolds with large groups of symmetries, with the general idea that such manifolds should arise from natural algebraic and geometric constructions. Investigations in this area are often spurred by sudden discovery of or deepening of connections to other areas of mathematics. Recent new developments have been occurring with breakneck speed. Particularly important have been deepening connections to low dimensional topology, to homogeneous and hyperbolic dynamics as well as novel connections to operator algebras, and to classical work on characterizations of Lie groups among connected topological groups. The concentrated activity around this special term and the workshops funded in part by this grant are needed to capture this momentum and spur further progress. Information about individual workshops and meetings can be found at https://indico.math.cnrs.fr/event/9043/.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该NSF奖为我们的参与者提供了支持，以参加一系列讲习班，将于2024年4月至7月在巴黎举行的Marseilles的Internationale de Rencontres Mathematique举行。 研讨会和特殊学期的目标是将专家汇集在一起​​，以相关的及时和重要主题为基础，在与大量对称性的大型团体或空间相关的动态和几何形状方面。该奖项的主要目的是提供旅行资金，以允许美国的早期职业学者参加研讨会和学期课程。传统上，高度对称的歧管在数学中起着核心作用，从数字理论到动态到几何学。该研究主题集中在Zimmer和Gromov提出的一项计划，以研究具有大量对称性的歧管，并以自然代数和几何结构产生这种歧管。突然发现或加深与其他数学领域的联系或加深该领域的调查通常受到刺激。最近的新事态发展速度已随着突破性的速度而发生。 尤其重要的是，与低维拓扑，与均质和双曲动力学以及与操作员代数的新连接以及有关连接拓扑组中谎言组的特征的经典作品的新连接加深了连接。需要围绕这个特殊术语的集中活动和部分由这笔赠款资助的研讨会来捕捉这一势头并刺激进一步的进步。有关个人研讨会和会议的信息，请参见https://indico.math.cnrs.fr/event/9043/.this Award反映了NSF的法定任务，并被认为是值得通过基金会的知识分子优点和更广泛的影响审查标准通过评估来进行评估的。