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

会议的主要议题是等变同伦和上同调理论的最新发展。将特别强调西格尔和沙利文猜想及其推广。梅教授的十个主要讲座将包括以下相互关联的主题。-不稳定等变同伦论--Sullivan猜想及其应用--等变丛与分类空间--RO(G)-分次上同调理论--西格尔猜想--稳定类别；G谱及其完成体--Tate，Borel同调和余Borel同调-Atiyah-Hirxebruch-Tate谱序列-等变K-理论-等变无限环空间理论与代数K-理论这次会议的一个主要价值将是让感兴趣的研究人员“看到森林，而不只是这块代数拓扑学领域的树。这位名叫彼得·梅的讲师是该领域的领军人物之一。该项目将支持将于1993年8月2日至6日在费尔班克斯的阿拉斯加大学举行的NSF-CBMS关于等变同伦和上同调的数学科学区域研究会议。芝加哥大学的彼得·梅将担任首席讲师。为了激发人们对数学研究的兴趣和活力，美国国家科学基金会每年都会支持一些NSF-CBMS数学科学区域研究会议。每个为期五天的会议都有一位杰出的讲师，他就一个重要的当前研究主题发表了十次演讲，该主题是数学科学中一个尖锐的重点领域。讲师随后根据这些讲座编写一份说明性专著，通常由美国数学学会或工业和应用数学学会出版，或由美国统计协会和数学统计研究所联合出版。这些会议的某些特点使其有别于典型的研究会议。它们是：(1)由领先的实践者专注于一个重要和及时的研究领域，(2)通过区域重点来持续影响和局部刺激，(3)小组审查质量、广度和及时性，以及(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.