Groundwork for Operator Algebras Lecture Series 2020

2020 年算子代数系列讲座的基础

• 批准号: 2000131
• 负责人: Brent Nelson
• 金额: $ 4.2万
• 依托单位: Michigan State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2020
• 资助国家: 美国
• 起止时间: 2020-04-01 至 2022-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2000131&HistoricalAwards=false
• 关键词: Groundwork; Operator; Algebras; Lecture; Series

This award supports participation in the Groundwork for Operator Algebras Lecture Series to be held at Michigan State University during June 28 - July 12, 2020. Operator algebras arose as a mathematical framework for quantum mechanics, and the field today is a highly active research area. The Groundwork for Operator Algebras Lecture Series (GOALS) is a two-week summer school and workshop that aims to provide early-career graduate students with an introduction to the fundamental techniques and current research in operator algebras. In addition, GOALS aims to increase, in this field, the participation and retention of persons from traditionally underrepresented groups by removing technical barriers to the field and building a strong community of support among the participants, contributors, and organizers. The field of operator algebras is a branch of functional analysis, which has a long-standing dialogue with various fields of mathematics and physics, such as topology, group theory, conformal field theory, probability, and logic, to name a few. The breadth of knowledge required to actively engage in operator algebras can be intimidating; there is a need to provide future researchers with an introduction to fundamental techniques and current research. The objectives of GOALS will be accomplished via lecture series on the basics of C*-algebras and von Neumann algebras; problem sessions; evening discussions on psychological barriers; expository talks about more advanced topics; and a culminating conference with leading researchers in operator algebras. The community created at GOALS will be sustained by providing financial support for the participants to reunite at major annual operator algebras conferences such as the Great Plains Operator Theory Symposium. More information about this event is available at the link below.https://users.math.msu.edu/users/banelson/conferences/GOALS.htmlThis award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该奖项支持参与2020年6月28日至7月12日在密歇根州立大学举行的操作员代数讲座系列的基础工作。运营商代数作为量子力学的数学框架出现，而今天的领域是一个非常活跃的研究领域。操作员代数讲座系列（目标）的基础工作是为期两周的暑期学校和研讨会，旨在为早期职业生涯的研究生提供对操作员代数的基本技术和当前研究的介绍。此外，目标旨在通过删除该领域的技术障碍并在参与者，贡献者和组织者之间建立强大的支持社区，从而在这一领域增加参与和保留人的参与和保留。运算符代数的领域是功能分析的一个分支，该分析与数学和物理学的各个领域进行了长期的对话，例如拓扑，群体理论，保形场理论，概率和逻辑，仅举几例。积极参与操作员代数所需的知识广度可能令人生畏。有必要为未来的研究人员提供有关基本技术和当前研究的介绍。目标的目标将通过演讲系列实现，介绍C*-Elgebras和von Neumann代数的基础知识；问题会议；关于心理障碍的晚上讨论；说明性谈论更高级的话题；以及与操作员代数领先的研究人员举行的最终会议。 通过为参与者提供财政支持，以在主要年度运营商代数会议（例如大平原操作员理论研讨会）上团聚的财政支持来维持实现的社区。有关此事件的更多信息，请访问下面的链接。