Mathematical Sciences: NSF/CBMS Regional Conference in the Mathematical Sciences on Equivariant Homotopy and Cohomology

会议的主要议题是近期 等变同伦和上同调理论的发展。 特别强调将给予西格尔和沙利文 解释及其概括。 梅教授十岁 主要讲座将包括以下相关 话题 - 不稳定等变同伦理论 - Sullivan猜想及其应用 - 等变丛与分类空间 - RO（G）-分次上同调理论 - Segal猜想 - 稳定范畴; G-谱及其完备化 - Tate，Borel和co-Borel同调 - Atiyah-Hirxebruch-Tate谱序列 - 等变K理论 - 等变无限循环空间理论与代数 k理论 本次会议的主要价值将是让感兴趣的 研究人员“看到森林，而不仅仅是树木”的这一地区， 代数拓扑学 演讲者彼得·梅是 领导者在外地。 该项目将支持NSF-CBMS区域研究 等变同伦数学科学会议 和上同调将于1993年8月2日至6日在该大学举行 位于阿拉斯加的费尔班克斯。 芝加哥大学的彼得·梅 将担任首席讲师。 为了激发数学研究的兴趣和活动， 美国国家科学基金会每年都会资助一些 NSF-CBMS区域数学研究会议 以理工科为重 每一个为期五天的会议都有一个杰出的 就一个重要问题发表十次演讲的讲师 目前的研究在一个尖锐的重点领域的数学 以理工科为重 讲师随后准备了一份备忘录， 基于这些讲座的专著，通常出版 由美国数学学会或美国数学学会 工业和应用数学，或联合由美国 统计协会和数学研究所 统计 这些会议的某些特点使其与众不同 典型的研究会议。 （1）专注于A 一个重要而及时的研究领域， （2）持续的效果和局部刺激， 区域重点，（3）质量、广度和 及时性;（4）出版面向更广泛受众的专著。

The main topics of the conference are the recent developments in equivariant homotopy and cohomology theory. Special emphasis will be given to the Segal and Sullivan conjectures and their generalizations. Professor May's ten principal lectures will include the following interrelated topics. - Unstable equivariant homotopy theory - The Sullivan conjecture and its applications - Equivariant bundles and classifying spaces - RO(G)-graded cohomology theory - The Segal conjecture - The stable category; G-spectra and their completions - Tate, Borel and co-Borel homology - The Atiyah-Hirxebruch-Tate spectral sequence - Equivariant K-theory - Equivariant infinite loop space theory and algebraic K-theory A main value of this conference will be to let interested researcher "see the forest, not just the trees" of this area of algebraic topoloty. The lecturer, Peter May, is one of the leaders in the field. This project will support an NSF-CBMS Regional Research Conference in the Mathematical Sciences on Equivariant Homotopy and Cohomology to be held August 2 - 6, 1993, at the University of Alaska in Fairbanks. Peter May of the University of Chicago will be the principal lecturer. To stimulate interest and activity in mathematical research, the National Science Foundation each year supports a number of NSF-CBMS Regional Research Conferences in the Mathematical Sciences. Each five-day conference features a distinguished lecturer who delivers ten lectures on a topic on important current research in one sharply focused area of the mathematical sciences. The lecturer subsequently prepares an expository monograph based upon these lectures, which is normally published by the American Mathematical Society or the Society for Industrial and Applied Mathematics, or jointly by the American Statistical Association and the Institute of Mathematical Statistics. Certain features differentiate these conferences from typical research conferences. These are: (1) Focus on a single important and timely area of research by a leading practitioner, (2) Continued effect and local stimulation through regional emphasis, (3) Panel review for quality, breadth, and timeliness, and (4) Published monographs for a wider audience.