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伦理论的最新进展。将特别强调西格尔和沙利文猜想及其概括。梅教授的十个主要讲座将包括以下相互关联的主题。-不稳定等变同伦理论-沙利文猜想及其应用-等变束与分类空间- RO(G)-梯度上同伦理论-西格尔猜想-稳定范畴g谱及其补全Borel和co-Borel同调- Atiyah-Hirxebruch-Tate谱序列-等变k -理论-等变无限环空间理论和代数k -理论本次会议的主要价值将是让感兴趣的研究者“看到森林，不只是“树”这个代数拓扑领域。讲师彼得·梅是该领域的领军人物之一。该项目将支持将于1993年8月2 - 6日在阿拉斯加大学费尔班克斯举行的NSF-CBMS数学科学等变同伦和上同伦区域研究会议。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动，美国国家科学基金会每年都支持一些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，他就一个重要的数学科学领域的当前研究主题发表十次演讲。讲师随后根据这些讲座准备一篇说明性的专著，通常由美国数学学会或工业与应用数学学会出版，或由美国统计协会和数理统计研究所联合出版。这些会议的某些特点区别于典型的研究会议。这些是：(1)由一位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)对质量、广度和及时性进行小组审查；(4)为更广泛的受众出版专著。

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.