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

拓扑学领域成为一个独立的数学领域， 世纪之交的纪律。 此后又 发展成为一个庞大而多样化的数学活动领域。 来自拓扑学不同子领域的方法已经广泛地 影响了当前许多其他领域的研究，从数学 从物理学到代数和数论 会议得到了 这项资助将集中在拓扑学在三个主要领域的应用上， 当前研究领域：全局几何、拓扑和数学 物理学（包括规范场论、拓扑和共形 量子场论和狄拉克的整体几何 算子）;代数几何和代数K-理论;和动力学 系统. 会议，题为拓扑方法在现代 数学，将于1991年6月14日至21日在纽约州立大学斯托尼布鲁克举行。 在这三个领域中的每一个领域都将有广泛的调查会谈 以及更详细的讲座， 令人兴奋的最近发展。 会议将提供一个 数学家们从三个不同的数学 其共同特征是使用拓扑方法的学科 和结果走到一起，在一个非常富有成效的互动 路上了 此外，还计划为下列人员提供特别辅导方案： 研究生和本科生，这样他们也可以 参加会议，了解现实， 数学家研究的兴奋。

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.