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

数学科学：代数拓扑和同伦理论会议，1987 年 8 月，新罕布什尔州达勒姆

• 批准号: 8703573
• 负责人: Arthur Copeland
• 金额: $ 1.1万
• 依托单位: University of New Hampshire
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-07-15 至 1988-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8703573&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Conference; Algebraic; Topology

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.

这个项目是一个为期五天的会议代数拓扑 和同伦理论将于1987年8月在 新罕布什尔州达勒姆大学，新罕布什尔州。 快速和 深刻的事态发展表明，确实需要召开一次会议， 这样研究人员就可以见面交流思想。 它 预计会议将吸引来自世界各地的数学家， 美国，英国、法国和联邦德国德国。 将讨论的主题包括 单纯形方法，经典同伦理论，上同调 群，稳定同伦理论，和应用非常 理论 例如，H.米勒在沙利文 猜想及其分支导致了一些理解， 分类空间之间的映射。 此外，相关工作 Lannes等人在上同调 地图空间的描述。 很有可能这些 结果将导致更令人兴奋的和基本的定理。 其他例子包括Devinatz，霍普金斯和史密斯的工作 在拉文埃尔的无意识形态的方向。 的 这里的结果表明，一些全球性的理解， 球面的稳定同伦群