Mathematical Sciences: NSF/CBMS Regional Conference in the Mathematical Sciences - Classification of Amenable Subfactors and Related Topics; August 24-28, 1993

术语“因子”表示简单的冯诺依曼代数。 在 1982年，Vaughan Jones开始了子因子的研究， 一个特定的子因子的指数的自然定义 一种因素。 他发现了一些显著的限制 这个指数的可能值和一些完全出乎意料的 与纽结理论的联系 从那时起，许多例子 发现了 一个易于处理的大类子因子，即所谓的 这些都是完全保密的。 的范围 相关领域继续增长，最新增加了 就是超选择扇区理论 索林教授 波帕几乎从一开始就参与了这一课题 他是世界上研究“第二类因素”的权威专家。 该项目将支持NSF-CBMS区域研究 数学科学分类会议 顺从的子因素和相关主题将于8月24日至28日举行， 1993年，在圣克鲁斯的加州大学。 教授 Sorin Popa将担任首席讲师。 裁谈会 预计将吸引来自美国西海岸的参与者， 加拿大，包括加州大学伯克利分校、加州大学洛杉矶分校、内华达州里诺分校和 维多利亚大学和温哥华大学。 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 term "factors" denotes simple von Neumann algebras. In 1982, Vaughan Jones started the study of subfactors when he gave a natural definition of the index of a subfactor of a particular kind of factor. He discovered some remarkable restrictions on the possible values of this index and some totally unexpected connections with knot theory. Since then many examples have been discovered. A tractable large class of subfactors, the so-called amenable ones, has been completely classified. The range of related areas has continued to grow, with the latest addition being the theory of superselection sectors. Professor Sorin Popa has been involved in this subject almost from the beginning and is the world's leading expert on "type II factors". This project will support an NSF-CBMS Regional Research Conference in the Mathematical Sciences on Classification of Amenable Subfactors and Related Topics to be held August 24 - 28, 1993, at the University of California, Santa Cruz. Professor Sorin Popa will be the principal lecturer. The conference is expected to draw participants from the west coast of the U.S. and Canada, including UC Berkeley, UCLA, U Nevada at Reno, and the Universities of Victoria and Vancouver. 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.