Conference: Groundwork for Operator Algebras Lecture Series 2023

该奖项为将于2023年6月5日至17日在普渡大学举办的2023年算子代数基础讲座系列（GOALS）提供资金支持。会议提供早期职业研究生介绍算子代数的基本原理和基本技术，以及对当前研究课题的一瞥。千年发展目标的另一个目标是通过消除技术障碍和建立强大的支持社区，增加传统上代表性不足群体的数学家在该领域的参与。算子代数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，包括拓扑、群论、共形场论、概率论和逻辑学。尽管这是一个非常活跃的研究领域，但开始研究算子代数所需的技术知识的深度和广度可能对希望进入该领域的研究生构成障碍。aims的主要目的是帮助早期职业研究生提供这种急需的背景知识，并向他们介绍当前感兴趣的各种更高级的主题。活动将包括C*代数和冯·诺伊曼代数基础的系列讲座，问题讨论，关于心理障碍的晚间讨论，关于更高级主题的说说性讨论，以及与算子代数领域的主要研究人员的最终会议。在“2023年目标”上创建的社区将通过为参与者提供资金支持来维持，以便他们在大型年度算子代数会议（如2024年5月的大平原算子理论研讨会）上团聚。关于目标的更多细节可以在https://users.math.msu.edu/users/banelson/conferences/GOALS.htmlThis上找到。该奖项反映了美国国家科学基金会的法定使命，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 provides funding in support of the 2023 Groundwork for Operator Algebras Lecture Series (GOALS), to be hosted at Purdue University, June 5-17, 2023. The conference offers early-career graduate students an introduction to the basic principles and fundamental techniques of operator algebras, as well as a glimpse into current research topics. A further aim of GOALS is to increase the participation of mathematicians from traditionally underrepresented groups in the field by removing technical barriers and building a strong community of support. Operator algebras is a branch of functional analysis which has a long-standing dialogue with various fields of mathematics and physics, including topology, group theory, conformal field theory, probability, and logic. Although it is a highly active area of research, the depth and breadth of technical knowledge required to begin working in operator algebras can present an obstacle to graduate students wishing to enter the field. The primary aim of GOALS is to help provide early-career graduate students with this much-needed background and introduce them to a variety of more advanced topics of current interest. Activities will include 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 2023 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 2024. 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.