Conference on Low-Dimensional Topology

9714890弗里德曼该奖项为1998年3月14日至15日在哥伦比亚大学和巴纳德学院举行的为期两天的低维拓扑学会议提供部分支持。特别关注的领域是：通过辫子表示的纽结理论，量子和有限类型纽结不变量，以及映射类群的研究，因为它属于3-流形分类，并与映射类群和辫子群的上同调之间的类比有关。特邀演讲者包括科林·亚当斯、罗伯特·格里斯特、沃恩·琼斯、林晓松、威廉·梅纳斯科、约泽夫·普日蒂茨基和卡罗琳·塞莱斯。会议概述了这一领域的概况，该领域在过去15年中取得了巨大进展，其中一些已经在DNA和长聚合物的研究中找到了应用。它还探索了该领域研究的未来方向。***

9714890 Friedman This award provides partial support for a two-day conference in low-dimensional topology at Columbia University and Barnard College on March 14-15, 1998. Specific areas of concern are: knot theory via braid representations, quantum and finite type knot invariants, and the study of the mapping class group, both as it pertains to 3- manifold classification and in connection with the analogies between the cohomology of the mapping class group and the braid group. The invited speakers include Colin Adams, Robert Ghrist, Vaughan Jones, Xiao-Song Lin, William Menasco, Jozef Przytycki, and Caroline Series. The conference surveys the broad outlines of a field that has seen dramatic progress over the last fifteen years, some of which have already found application in the study of DNA and long polymers. It also explores future directions for research in the field. ***