Workshops in Geometric Topology

几何拓扑研讨会

• 批准号: 9802861
• 负责人: Craig Guilbault
• 金额: $ 3.09万
• 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: 1998
• 资助国家: 美国
• 起止时间: 1998-07-15 至 2001-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9802861&HistoricalAwards=false
• 关键词: Workshops; Geometric; Topology

9802861 Guilbault This award provides partial support for a workshop in geometric topology to be held in each of the summers of 1998, 1999, and 2000. The 1998 workshop will be held in Park City, Utah, with Brigham Young University acting as host, with Professor David G. Wright as the local organizer, and with Professor Steven C. Ferry of SUNY-Binghamton as the principal lecturer. The 1999 workshop will be held at University of Wisconsin-Milwaukee, and the 2000 workshop will be held at Colorado College. These workshops belong to a well established series that began in the 1980's. 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 (the residual space remaining after a worm has eaten its way along the knot, leaving a knot- shaped tunnel behind). The workshops' primary goal is to provide mathematicians with active research programs but limited support an opportunity to discuss their work with others in the field. Another important goal is to expand the interests of the participants by having a nationally recognized expert discuss an area that is related to, but outside, the focus of their current work. A third goal is to provide a serious but informal research atmosphere in which gradate students in geometric topology can meet and learn from others in the field. ***

小行星9802861 该奖项提供了部分支持的几何拓扑学研讨会将在1998年，1999年和2000年的夏天举行。 1998年的讲习班将在犹他州的帕克城举行，由杨百翰大学主办，大卫G.赖特作为当地的组织者，并与教授史蒂芬C。纽约州立大学宾汉姆顿分校的费里担任首席讲师。 1999年的讲习班将在威斯康星大学密尔沃基分校举行，2000年的讲习班将在科罗拉多学院举行。 这些讲习班属于一个完善的系列，开始于1980年代。 几何拓扑学研究低维拓扑流形的结构和性质. 本系列的前几个研讨会集中在该领域的主要发展，如Andrew Casson和John Luecke对纽结补数问题的解决方案。 主要讲座的场合（1989年）是由Luecke，其解决方案证实了猜想，一个结在三维空间是完全由其补充（剩余空间后，蠕虫吃了它的方式沿着结，留下一个结形隧道落后）。 讲习班的主要目标是为数学家提供积极的研究计划，但有限的支持，有机会与该领域的其他人讨论他们的工作。 另一个重要目标是，通过让一位国家公认的专家讨论与其目前工作重点有关但不属于其重点的领域，扩大与会者的兴趣。 第三个目标是提供一个严重的，但非正式的研究氛围中，毕业生在几何拓扑可以满足和学习他人在该领域。 ***