Mathematical Sciences: Conference on Low-Dimensional Topology

在过去的几年里，低维拓扑领域得到了扩展。该理论的范围已经大大扩大，并且使用了越来越多的不同的技术。该理论已经扩展到许多不同的领域，如组合群论、微分几何、代数几何和一般物理、谱理论、表示理论、规范理论等。此外，计算机在低维拓扑理论中的作用也变得越来越重要。这个项目将支持将于1992年5月在诺克斯维尔的田纳西大学举行的低维拓扑学会议。本次会议将涉及的主要领域有：(1)负弯曲群及其在r树上的作用；(2)低维拓扑中的极小曲面；(3)双曲3-流形及其表示；(4)组合3-流形理论；(5)3-流形的规范理论。这次会议将作为1991-92学年在田纳西大学举行的拓扑学特别强调年的一部分举行。

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.