Workshops in Geometric Topology

9802861本奖项为将于1998年、1999年和2000年每年夏季举办的几何拓扑学研讨会提供部分支持。1998年的研讨会将在犹他州的帕克城举行，杨百翰大学担任东道主，David G.Wright教授担任当地组织者，SUNY-Binghamton的Steven C.Ferry教授担任首席讲师。1999年的研讨会将在威斯康星大学密尔沃基分校举行，2000年的研讨会将在科罗拉多学院举行。这些工作坊是始于20世纪80年代的S系列课程的一部分。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(1989)的主要讲座是由Luecke提出的，他的解决方案证实了一个猜想，即三维空间中的纽结完全由它的补集(虫子沿着纽结吃掉自己的路后剩下的剩余空间，留下一个纽结形状的隧道)决定。这些研讨会的主要目标是为数学家提供积极的研究计划，但支持有限，让他们有机会与该领域的其他人讨论他们的工作。另一个重要目标是让一位国家公认的专家讨论与其当前工作重点相关但不在其工作重点之外的领域，从而扩大参与者的利益。第三个目标是提供一个严肃但非正式的研究氛围，几何拓扑学的研究生可以在其中相遇并向该领域的其他人学习。***

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. ***