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·诺伊曼代数。1982年，沃恩·琼斯（Vaughan Jones）开始了子因子的研究，当时他给出了一种特定因子的子因子指数的自然定义。他发现了该指标可能值的一些显著限制，以及与结理论的一些完全出乎意料的联系。从那时起，人们发现了许多例子。一大类可处理的子因子，即所谓的可服从因子，已被完全分类。相关领域的范围不断扩大，最新增加的是超选择行业理论。索林·波帕教授几乎从一开始就参与了这一主题，是世界上“第二类因素”方面的领先专家。该项目将支持将于1993年8月24日至28日在加州大学圣克鲁斯分校举行的NSF-CBMS关于可调节子因子分类和相关主题的数学科学区域研究会议。索林·波帕教授将担任首席讲师。美国伯克利大学、加州大学洛杉矶分校、内华达大学里诺分校、维多利亚大学和温哥华大学等美国西海岸和加拿大的代表将参加此次会议。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 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.