Mathematical Sciences: Conference on Low-Dimensional Topology

数学科学：低维拓扑会议

• 批准号: 9121120
• 负责人: Robert Daverman
• 金额: $ 1万
• 依托单位: University of Tennessee Knoxville
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-03-01 至 1993-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9121120&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Conference; Low; Dimensional

In the past few years, the field of low-dimensional topology has undergone expansion. The theory has significantly widened in scope and has made use of more and more diverse techniques. The theory has branched out into such varied areas as combinatorial group theory, differential geometry, algebraic geometry and physics in general, spectral theory, representation theory, gauge theory, and others. Moreover, the role of computers in the theory of low-dimensional topology has become increasingly important. This project will support the Conference on Low-Dimensional Topology to be held in May 1992 at the University of Tennessee, Knoxville. The major areas to be covered in this conference are: (1) negatively curved groups and actions on R-trees, (2) minimal surfaces in low-dimensional topology, (3) hyperbolic 3-manifolds and their representations, (4) combinatorial 3-manifold theory, and (5) gauge theoretic aspects of 3-manifolds. This conference will be held as part of a special emphasis year in topology being held at the University of Tennessee during the 1991-92 academic year.

在过去的几年里，低维拓扑领域 经历了扩张。 这一理论在1990年 范围，并利用了越来越多的不同技术。 的 理论已经扩展到各种各样的领域， 群论、微分几何、代数几何和 普通物理学，谱理论，表象理论，规范 理论等。 此外，计算机在 低维拓扑理论已经成为越来越多的 重要. 该项目将支持低维会议 拓扑学将于1992年5月在田纳西大学举行， 诺克斯维尔。 这次会议将涉及的主要领域是： (1)R-树上的负曲群和作用，（2）极小 低维拓扑中的曲面，（3）双曲三维流形 及其表示，（4）组合三维流形理论， （5）三维流形的规范理论。 这次会议 将举行一个特别强调一年拓扑学的一部分， 1991-92年在田纳西大学举行的学术会议上， 年