Mathematical Sciences: Topology Conference at UW Madison

近年来，代数拓扑学在几何和物理问题中的应用越来越广泛。同伦理论技术使我们对规范论的问题有了新的认识；在将拓扑技术应用于模表示理论问题方面取得了重要进展；而几何信息现在可以从群上同调中提取出来，这为表示理论、群作用和稳定同伦的思想交流提供了一个肥沃的公共基础。这笔拨款将用于支持1991年秋天在威斯康辛大学举行的代数拓扑会议。邀请的演讲者是该领域的顶尖研究人员，会议可能会在拓扑和拓扑应用方面取得根本性的进展，并在数学和数学物理的不同领域之间产生富有成效的互动。

In recent years, the field of algebraic topology has become increasingly applied to problems in geometry and physics. Homotopy-theoretic techniques have yielded new insight into problems derived from gauge theory; there has been important progress in applying topological techniques to problems in modular representation theory; and geometric information can now be extracted from group cohomology, which serves as a fertile common ground for an exchange of ideas from representation theory, group actions and stable homotopy. This grant will support a conference in algebraic topology at the University of Wisconsin in the fall of 1991. The invited speakers are the top researchers in the field and the conference is likely to result in fundamental advances, both in topology and in the applications of topology, and in fruitful interactions between the disparate fields of mathematics and mathematical physics.