Multivariate Operator Theory; Summer 2009, Toronto, CA

该项目旨在资助一些年轻的研究人员和数学家从美国前往菲尔兹研究所参加为期一周的“多元算子理论”会议，这些研究人员和数学家属于代表不足的少数族裔。多元算子理论是现代分析的一个非常有活力的分支，在过去的二十年里，它在经典的算子理论、微分几何、多个复变量的复变分析、李群表示、整体分析和局部交换代数的贡献下形成了一个完整的研究领域。其基本的跨学科结构要求各专家组定期举行会议，交流其最新的想法和贡献。会议将有一个适度的日程安排，有大量的休息时间，以便进行合作、讨论新问题和非正式互动。年轻的参与者将有一个独特的机会来概述多元算子理论领域，把握其当前的挑战，并会见数学应急领域的专家。这次会议的影响将超越算子理论，对微分几何、复杂解析几何、函数论、指数理论和群表示等领域产生重大影响。这些领域之间现有的良好联系(例如，通过K理论，或通过拓扑上同调)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.