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

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:
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
项目状态:
已结题
起止时间:
2022-04-01 至 2023-08-31

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中文摘要
翻译
算子代数作为量子力学的数学框架而出现,今天是一个非常活跃的研究领域。算子代数系列讲座(GOALS)的基础将为早期职业研究生提供对算子代数的基本技术和当前研究的介绍。此外,全球目标和行动计划旨在通过消除该领域的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,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,如拓扑学、群论、共形场论、概率论和逻辑等。 正如这个列表所示,积极参与算子代数所需的知识广度可能是令人生畏的;因此需要如上所述的目标。目标的目标将通过系列讲座C*-代数和冯诺依曼代数的基础知识完成;问题会议;晚上讨论心理障碍;关于更先进的主题的讲座;和一个高潮会议与领先的研究人员在算子代数。 在GOALS 2022创建的社区将通过为参与者提供财政支持来维持,以便在2023年5月的大平原算子理论研讨会等主要年度算子代数会议上重聚。有关GOALS的更多详细信息可在www.example.com上获得https://users.math.msu.edu/users/banelson/conferences/GOALS.htmlThis奖项反映了NSF的法定使命,并被认为值得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来支持。
英文摘要
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.
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Young Mathematicians in C*-Algebras
  • 批准号:
    1900134
  • 项目类别:
    Standard Grant
  • 资助金额:
    $4.1万
  • 财政年份:
    2019
  • 负责人:
    Elizabeth Gillaspy
  • 依托单位:
Structural Invariants for Higher-Rank Graphs
  • 批准号:
    1800749
  • 项目类别:
    Standard Grant
  • 资助金额:
    $27.0万
  • 财政年份:
    2018
  • 负责人:
    Elizabeth Gillaspy
  • 依托单位:
海外基金