Multivariate Operator Theory; Summer 2009, Toronto, CA

【摘要】普京：该项目旨在资助美国少数族裔青年研究人员和数学家于2009年8月前往菲尔兹研究所参加“多元算子理论”会议，为期一周。多元算子理论是现代分析中一个非常有活力的分支，近二十年来在经典算子理论、微分几何、多个复变量的复分析、李群表示、全局分析和局部交换代数的贡献下发展成为一个完整的研究领域。其基本的跨学科结构使得各个专家小组定期会面并交流他们的最新想法和贡献势在必行。会议将有一个适度的时间表，有大量的休息时间，允许合作，讨论新问题和非正式的互动。年轻的参与者将有一个独特的机会对多元算子理论领域进行概述，把握其当前的挑战，并与数学领域的专家会面。会议的影响超出了算子理论，对微分几何，复解析几何，函数理论，指标理论和群表示的领域将是显著的。这些领域之间建立良好的现有联系（例如通过k理论，或通过拓扑上同论）为维持会议的跨学科组成部分提供了坚实的框架。

AbstractPutinarThe project is aimed at sponsoring the travel of a number of young researchers and mathematicians belonging to under represented minorities from US to the Fields Institute, to attend the meeting "Multivariate Operator Theory", for the duration of a week in August 2009. Multivariate operator theory is a very dynamic branch of modern analysis which has emerged in to a full area of research in the last two decades with contributions from classical operator theory, differential geometry, complex analysis of several complex variables, Lie group representations, global analysis and local commutative algebra. Its fundamental interdisciplinary structure makes imperative that the various groups of experts meet regularly and exchange their latest ideas and contributions. The conference will have a modest schedule with significant breaks to allow collaboration, discussion of new problems and informal interaction. The young participants will have a unique opportunity to have an overview of the field of multivariate operator theory, to grasp its present challenges and meet experts in contingent areas of mathematics. The impact of the meeting beyond operator theory, to areas of differential geometry, complex analytic geometry, function theory, index theory and group representations will be significant. The well established existing links between these fields (for instance via K-theory, or via topological cohomology) offer a solid framework for sustaining the interdisciplinary component of the meeting.