Groundwork for Operator Algebras Lecture Series 2020

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系列讲座的基础。算符代数是作为量子力学的数学框架而出现的，目前是一个非常活跃的研究领域。算子代数基础系列讲座（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提供算子代数的基本技术和当前研究的介绍。此外，目标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一个强大的支持社区，增加传统上代表性不足群体的人员在该领域的参与和保留。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，例如拓扑学、群论、共形场论、概率论和逻辑学等。积极参与算子代数所需的知识广度可能令人生畏；有必要为未来的研究人员提供基本技术和当前研究的介绍。aims的目标将通过一系列关于C*代数和von Neumann代数基础的讲座来实现；问题会议;心理障碍的晚间讨论；说明性的讨论更高级的话题；还有一次与算子代数领域的顶尖研究人员的终极会议。在aims上创建的社区将通过为参与者提供资金支持来维持，以便在诸如大平原算子理论研讨会等主要的年度算子代数会议上团聚。https://users.math.msu.edu/users/banelson/conferences/GOALS.htmlThis奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

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.