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操作员代数系列讲座的基础工作。算符代数作为量子力学的数学框架应运而生，今天这一领域是一个非常活跃的研究领域。算子代数系列讲座的基础工作是为期两周的暑期课程和工作坊，旨在为早期职业生涯的研究生介绍算子代数的基本技术和最新研究。此外，目标旨在通过消除实地技术障碍和在参与者、贡献者和组织者之间建立一个强大的支持社区，在这一领域增加来自传统上任职人数不足群体的人员的参与和留住。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、保形场论、概率论和逻辑等等。积极从事算子代数所需的知识广度可能令人望而生畏；有必要为未来的研究人员提供基本技术和当前研究的入门。目标的目标将通过C*-代数和von Neumann代数基础的系列讲座、问题会议、关于心理障碍的晚上讨论、关于更高级主题的说明性演讲以及与算子代数的领先研究人员的最终会议来实现。在Goals创建的社区将通过为与会者在主要的年度运营商代数会议(如大平原运营商理论研讨会)上团聚提供财政支持来维持。有关此次活动的更多信息，请访问链接below.https://users.math.msu.edu/users/banelson/conferences/GOALS.htmlThis奖项反映了国家科学基金会的法定使命，并通过使用基金会的智力优势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.