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.

该奖项支持参加将于 2020 年 6 月 28 日至 7 月 12 日在密歇根州立大学举行的算子代数基础讲座系列。算子代数作为量子力学的数学框架而出现，如今该领域是一个高度活跃的研究领域。算子代数基础讲座系列 (GOALS) 是一个为期两周的暑期学校和研讨会，旨在为早期职业研究生介绍算子代数的基本技术和当前研究。此外，GOALS 旨在通过消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，增加传统上代表性不足群体的参与和保留。算子代数领域是泛函分析的一个分支，它与数学和物理的各个领域有着长期的对话，例如拓扑、群论、共形场论、概率和逻辑等。积极参与算子代数所需的知识广度可能令人生畏；有必要向未来的研究人员介绍基本技术和当前的研究。 GOALS 的目标将通过 C* 代数和冯诺依曼代数基础知识系列讲座来实现；问题会议；关于心理障碍的晚间讨论；关于更高级主题的说明性演讲；以及与算子代数领域领先研究人员举行的最终会议。 GOALS 创建的社区将通过为参与者提供财政支持来维持，以便他们在大型年度算子代数会议（例如大平原算子理论研讨会）上重聚。有关此活动的更多信息，请访问以下链接。 https://users.math.msu.edu/users/banelson/conferences/GOALS.html 该奖项反映了 NSF 的法定使命，并通过使用基金会的评估进行评估，认为值得支持智力价值和更广泛的影响审查标准。