Multivariate Operator Theory; Summer 2009, Toronto, CA

多元算子理论；

• 批准号: 0923839
• 负责人: Mihai Putinar
• 金额: --
• 依托单位: University of California-Santa Barbara
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-07-01 至 2010-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0923839&HistoricalAwards=false
• 关键词: Multivariate; Operator; Theory; Summer; 2009

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.

该项目的目的是赞助一些来自美国的少数民族青年研究人员和数学家前往菲尔兹研究所，参加2009年8月为期一周的“多元算子理论”会议。多元算子理论是现代分析的一个非常活跃的分支，在过去的二十年里，它已经发展到一个完整的研究领域，经典算子理论、微分几何、多复变的复分析、李群表示、整体分析和局部交换代数都对它做出了贡献。其基本的跨学科结构使得各专家组必须定期开会，交流他们的最新想法和贡献。会议将有一个适度的时间表，有重要的休息时间，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，有多元算子理论领域的概述，把握其目前的挑战，并满足数学的偶然领域的专家。会议的影响超出算子理论，微分几何，复解析几何，函数理论，指数理论和群表示领域将是显着的。这些领域之间的现有联系（例如通过K理论或拓扑上同调）为维持会议的跨学科部分提供了坚实的框架。