"Topological Methods in Modern Mathematics," a conference to be held at SUNY Stony Brook, New York, June 14-21, 1991

拓扑学在世纪之交成为一门独立的数学学科。从那时起，它已经成长为一个大而多样化的数学活动领域。拓扑学不同子领域的方法广泛影响了当前许多其他领域的研究，从数学物理到代数和数论。由这笔赠款支持的会议将集中讨论拓扑学在当前研究的三个主要领域中的应用：全球几何、拓扑和数学物理(包括规范场理论、拓扑和共形量子场理论以及狄拉克算符的全局几何)；代数几何和代数K理论；以及动力系统。这次会议的题目是《现代数学中的拓扑学方法》，将于1991年6月14-21日在纽约大学石溪分校举行。在这三个领域中的每一个领域，都将举行广泛的调查讲座，并就最重要和最令人兴奋的最新发展进行更详细的讲座。这次会议将为来自三个不同数学学科的数学家提供一个机会，他们的共同特点是使用拓扑学方法和结果来聚集在一起，并以极其富有成效的方式进行互动。此外，还为研究生和本科生计划了专门的辅导课程，让他们也可以参加会议，感受研究型数学家的真实性和兴奋感。

The field of topology became an independent mathematical discipline around the turn of the century. Since then, it has grown into a large and diversified area of mathematical activity. Methods from the different subareas of topology have widely influenced current research in many other areas, from mathematical physics to algebra and number theory. The conference supported by this grant will focus on the use of topology in three main areas of current research: Global geometry, topology and mathematical physics (including gauge field theory, topological and conformal quantum field theories, and the global geometry of the Dirac operator); Algebraic geometry and algebraic K-theory; and Dynamical systems. The conference, entitled Topological Methods in Modern Mathematics, will be held at SUNY Stony Brook, June 14-21, 1991. In each of the three areas there will be broad survey talks together with more detailed lectures on the most important and exciting recent developments. The conference will provide an opportunity for mathematicians from three distinct mathematical disciplines whose common feature is the use of topological methods and results to come together and interact in an extremely fruitful way. In addition, special tutorial programs are planned for graduate and undergraduate students, so that they may also participate in the conference and gain a sense of the reality and excitement of research mathematicians.