Mathematical Sciences: An NSF-CBMS Regional Conference on Applications of Operator Algebras to Knot Theory and Mathematical Physics; June 5-11, 1988

数学科学：关于算子代数在结理论和数学物理中的应用的 NSF-CBMS 区域会议；

• 批准号: 8714130
• 负责人: Mark Kidwell
• 金额: $ 2.92万
• 依托单位: United States Naval Academy
• 依托单位国家: 美国
• 项目类别: Interagency Agreement
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-01-01 至 1988-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8714130&HistoricalAwards=false
• 关键词: Mathematical; Sciences; NSF; CBMS; Regional

From the outset, Vaughn Jones' success, in 1981, of obtaining an index theory for Type II1 subfactors was recognized as a significant advance in the theory of operator algebras. What was not foreseen, however, is the remarkable impact that this theory has had on other branches of mathematics, particularly on knot theory. The operator algebraic setting for Jones' work has revolutionized knot theory through the generalizations of the Alexander polynomial Jones and other authors have obtained. More recently, numerous mathematicians have begun to recognize Jones' index theory as a powerful tool in mathematical physics and even in mathematical biology. This conference, with Professor Jones giving a series of ten lectures, will record the advances that have been made to date, indicate the connections that have developed among various branches of mathematics as a direct result of index theory for subfactors, and explore the fascinating applications being considered in various fields by numerous mathematicians and scientists.

从一开始，沃恩琼斯的成功，在1981年， 获得一个指数理论的类型II1子因素是公认的 算子代数理论的重大进展 然而，没有预见到的是， 这一理论在数学的其他分支上也有影响， 尤其是纽结理论 的算子代数设置 琼斯的工作已经彻底改变了纽结理论， 亚历山大多项式的推广琼斯等人 作者获得。 最近，许多数学家 已经开始认识到琼斯的指数理论是一个强大的工具， 数学物理学甚至数学生物学。 这次会议，琼斯教授给出了一系列的十个 讲座，将记录迄今为止所取得的进展， 指出了在各种不同的 数学分支作为指数理论的直接结果 子因素，并探索迷人的应用程序， 被许多数学家在各个领域所考虑， 科学家