Mathematical Sciences: Workshops in Geometric Topology

数学科学：几何拓扑研讨会

• 批准号: 9401185
• 负责人: Craig Guilbault
• 金额: $ 2.79万
• 依托单位: University of Wisconsin-Milwaukee
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-02-01 至 1998-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9401185&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Workshops; Geometric; Topology

9401185 Guilbault This award provides partial support for a workshop in geometric topology to be held in each of the summers of 1995, 1996, and 1997. The 1995 workshop will be held on the campus of the University of Wisconsin-Milwaukee, with Professors Fredric D. Ancel and Craig R. Guilbault as the local organizers and Professor Shmuel Weinberger of the University of Pennsylvania as the principal lecturer. The 1996 workshop will be held at Colorado College, and the 1997 workshop will be held at Oregon State University. Geometric topology treats the structure and properties of low- dimensional topological manifolds. Previous workshops in this series have focused on such major developments in the field as the solution of the knot-complement problem by Andrew Casson and John Luecke. The principal lectures on that occasion (1989) were given by Luecke, whose solution confirmed the conjecture that a knot in 3-dimensional space is completely determined by its complement, which is the residual space remaining after a worm has eaten its way along the knot, leaving a knot-shaped tunnel behind. ***

9401185本奖项为将于1995年、1996年和1997年每年夏天举办的几何拓扑学研讨会提供部分支持。1995年的讲习班将在威斯康星-密尔沃基大学校园内举行，弗雷德里克·D·安塞尔教授和克雷格·R·吉尔堡教授担任当地组织者，宾夕法尼亚大学的Shmuel Weinberger教授担任首席讲师。1996年的研讨会将在科罗拉多学院举行，1997年的研讨会将在俄勒冈州立大学举行。几何拓扑学研究低维拓扑流形的结构和性质。本系列以前的研讨会侧重于该领域的重大发展，如Andrew Casson和John Luecke的结补问题的解决。当时的主要讲演()是由吕克作的，他的解证实了一个猜想，即三维空间中的结完全由它的补决定，补是虫子沿着这个结吃掉自己的路，留下一个结形状的隧道后剩下的剩余空间。***