Conference: Groundwork for Operator Algebras Lecture Series (GOALS) 2022

会议：算子代数基础讲座系列 (GOALS) 2022

• 批准号: 2154574
• 负责人: Elizabeth Gillaspy
• 金额: $ 4.99万
• 依托单位: University of Montana
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2022
• 资助国家: 美国
• 起止时间: 2022-04-01 至 2023-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2154574&HistoricalAwards=false
• 关键词: Conference; Groundwork; Operator; Algebras; Lecture

Operator algebras arose as a mathematical framework for quantum mechanics and today is a highly active research area. The Groundwork for Operator Algebras Lecture Series (GOALS) will 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. 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. As this list indicates, the breadth of knowledge required to actively engage in operator algebras can be intimidating; hence the need for GOALS as stated above. 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 2022 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 in May 2023. More details about GOALS are available at 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.

算法代数作为量子力学的数学框架出现，如今已成为一个高度活跃的研究领域。操作员代数讲座系列（目标）的基础工作将为早期研究生提供有关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。 操作员代数是功能分析的一个分支，它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。 如本列表所示，积极参与操作员代数所需的知识广度可能令人生畏。因此，需要如上所述的目标。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。 2022年创建的社区将通过为参与者提供财政支持，以在2023年5月在大平原操作员理论研讨会等主要年度运营商代数会议团聚。认为值得通过基金会的智力优点和更广泛影响的评论标准来评估值得支持。