Conference: Geometric methods in group theory

会议：群论中的几何方法

• 批准号: 1608473
• 负责人: Andrew Sale
• 金额: $ 1万
• 依托单位: Vanderbilt 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: 2016-04-01 至 2017-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1608473&HistoricalAwards=false
• 关键词: Conference; Geometric; methods; group; theory

The conference on "Geometric Methods in Group Theory" will take place at Vanderbilt University, Nashville, TN, over the weekend of April 22-24, 2016. The conference is one of the Shanks Workshops that are held at Vanderbilt Univeristy, with several taking place each year on a wide array of subjects spanning all areas of mathematics. The talks at this workshop will focus on recent advances in the area of geometric group theory, with speakers including Mladen Bestvina (University of Utah), Kate Juschenko (Northwestern), Ilya Kapovich (UIUC), Olga Kharlampovich (CUNY) and Piotr Przytycki (McGill). Geometric group theory is a rapidly progressing area of research, providing a modern approach to group theory as well as the many associated topics. The geometric and topological properties of spaces on which groups act have led to many new and powerful results, such as Gromov's theorem that polynomial growth of balls in a finitely generated group is equivalent to the group containing a finite index nilpotent subgroup, or Yu's result that the existence of a uniform embedding of a group into a Hilbert space implies the group satisfies the Novikov and coarse Baum-Connes conjectures. The conference will have talks about recent advances in the area. Conference website: https://my.vanderbilt.edu/shanksgroups16/

“群论中的几何方法”会议将于2016年4月22日至24日在田纳西州纳什维尔的范德比尔特大学举行。这次会议是在范德比尔特大学举办的香克斯研讨会之一，每年都会举办几次研讨会，涉及数学各个领域的广泛主题。本次研讨会将集中讨论几何群理论领域的最新进展，演讲者包括Mladen Bestvina（犹他大学），Kate Juschenko（西北大学），Ilya Kapovich（伊利诺伊大学），Olga Kharlampovich（纽约市立大学）和Piotr Przytycki（麦吉尔大学）。几何群论是一个快速发展的研究领域，提供了一个现代的方法，群论以及许多相关的主题。群所作用的空间的几何和拓扑性质导致了许多新的和强大的结果，例如Gromov定理，即有限生成群中的球的多项式增长等价于包含有限指数幂零子群的群，或者Yu的结果，即群在Hilbert空间中的一致嵌入的存在意味着群满足Novikov猜想和粗糙Baum-Connes猜想。会议将讨论该领域的最新进展。会议网站：https://my.vanderbilt.edu/shanksgroups16/