Mathematical Sciences: Conference in Algebraic Topology and Homotopy Theory, August 1987, Durham, New Hampshire

这个项目是一个为期五天的代数拓扑学和同伦理论会议，将于1987年8月在新罕布夏州达勒姆的新汉普郡大学举行。迅速而深入的发展表明，确实需要召开这样一次会议，以便研究人员会面和交流思想。预计这次会议将吸引来自美国、英国、法国和德意志联邦共和国的数学家。将讨论的主题包括单纯方法的应用，经典同伦理论，群的上同调，稳定同伦理论，以及非常理论的应用。例如，H.Miller在Sullivan猜想及其分支上的工作导致了对分类空间之间的映射的一些理解。此外，Lannes等人的相关工作在映射空间的上同调刻画方面也取得了新的突破。这些结果很可能会导致更激动人心的基本定理。其他例子包括Devinatz、Hopkins和Smith在Ravenel的幂零猜想方面的工作。这里的结果表明，对球面的稳定同伦群有了一些全局的理解。

This project is a five-day conference in Algebraic Topology and Homotopy Theory to be held during August of 1987 at the University of New Hampshire, Durham, New Hampshire. Rapid and deep developments indicate a definite need for a conference of this sort in order that researchers meet and exchange ideas. It is expected that the conference will draw mathematicians from the U.S., Great Britain, France, and the Federal Republic of Germany. Topics that will be discussed include applications of simplicial methods, classical homotopy theory, cohomology of groups, stable homotopy theory, and applications of extraordinary theories. For example, the work of H. Miller on the Sullivan conjecture and its offshoots has led to some understanding of maps between classifying spaces. In addition, related work of Lannes and others has made new breakthroughs in the cohomological description of spaces of maps. It is very likely that these results will lead to even more exciting and basic theorems. Other examples include the work of Devinatz, Hopkins, and Smith in the direction of Ravenel's nilpotence conjectures. The results here indicate a glimmering of some global understanding of the stable homotopy groups of spheres.