First Arkansas-Oklahoma workshop in topology and geometry

第一届阿肯色州-俄克拉荷马州拓扑和几何研讨会

• 批准号: 0524076
• 负责人: Yoav Rieck
• 金额: $ 1.01万
• 依托单位: University of Arkansas
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-04-01 至 2006-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0524076&HistoricalAwards=false
• 关键词: First; Arkansas; Oklahoma; workshop; topology

he first Arkansas-Oklahoma workshop in topology and geometry will beheld at the University of Arkansas May 18-20, 2005. The purpose ofthe conference is to bring together researcher from the region as wellas researcher whose work is directly relevant to researchers in thearea, in the fields of 3-manifolds (hyperbolic 3-manifolds, Dehnsurgery, Heegaard splittings, efficient triangulations) and relatedsubjects (2 and 3 dimensional hyperbolic geometry and geometric grouptheory).In more general terms, topology is the branch of mathematics that,much like geometry, studies shapes. In recent years much progress hasbeen made in understanding 3 and 4 dimensional topology. Althoughtopology ignores some of the basic terms of geometry (such as lengtharea or volume) much of recent progress shows very deep connectionbetween topology and geometry, especially hyperbolic geometry. Ourgoal in this conference is bringing together people from closelyrelated (yet distinct) fields in order to update each other on recentdevelopments and establish future collaboration.

第一届阿肯色州-俄克拉荷马州拓扑和几何研讨会将于 2005 年 5 月 18 日至 20 日在阿肯色大学举行。会议的目的是将该地区的研究人员以及其工作与该地区的研究人员直接相关的研究人员聚集在一起， 3 流形域（双曲 3 流形、Dehnsurgery、Heegaard 分裂、高效三角剖分）以及相关学科（2 维和 3 维双曲几何和几何群论）。更一般地说，拓扑是数学的一个分支，与几何非常相似，研究形状。近年来，在理解 3 维和 4 维拓扑方面取得了很大进展。尽管拓扑学忽略了几何学的一些基本术语（例如长度、面积或体积），但最近的大部分进展表明拓扑学和几何学之间存在非常深厚的联系，尤其是双曲几何学。 我们这次会议的目标是将来自密切相关（但又不同）领域的人们聚集在一起，以便相互更新最新进展并建立未来的合作。