Conference: Geometric methods in group theory

会议：群论中的几何方法

基本信息

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

项目摘要

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 日周末在田纳西州纳什维尔范德比尔特大学举行。该会议是在范德比尔特大学举办的 Shanks 研讨会之一，每年都会安排涵盖数学所有领域的广泛科目。本次研讨会的演讲将重点关注几何群论领域的最新进展，演讲者包括 Mladen Bestvina（犹他大学）、Kate Juschenko（西北大学）、Ilya Kapovich（UIUC）、Olga Kharlampovich（纽约市立大学）和 Piotr Przytycki（纽约市立大学）麦吉尔）。几何群论是一个快速发展的研究领域，为群论以及许多相关主题提供了现代方法。群所作用的空间的几何和拓扑性质导致了许多新的、有力的结果，例如格罗莫夫定理，即有限生成群中球的多项式增长等价于包含有限索引幂零子群的群，或者Yu的结果群在希尔伯特空间中的均匀嵌入的存在意味着该群满足诺维科夫和粗鲍姆-康尼斯猜想。会议将讨论该领域的最新进展。会议网站：https://my.vanderbilt.edu/shanksgroups16/