Operator Algebras in the Twenty-First Century

二十一世纪的算子代数

• 批准号: 1915752
• 负责人: Charles Epstein
• 金额: $ 2万
• 依托单位: University of Pennsylvania
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-02-15 至 2020-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1915752&HistoricalAwards=false
• 关键词: Operator; Algebras; Twenty; First; Century

This award provides funding for participation in the conference "Operator Algebras in the Twenty-first Century" held March 30-31, 2019 at the Department of Mathematics, University of Pennsylvania. The conference focuses on recent developments in analysis, especially in the field of operator algebras and its applications in physics. The conference aims to facilitate both the growth of the operator algebras field per se, as well as to inform non-specialists of the power of these methods for addressing questions outside of this field. Several distinguished mathematicians have agreed to attend and speak at this conference. This award gives early career researchers, members of underrepresented groups, and researchers without other sources of funding an opportunity to attend and participate in this conference. Operator algebras provide a powerful perspective on problems throughout mathematics. This meeting will review some of the many accomplishments in this field, especially as related to the work of Richard V. Kadison, and their relationships to problems of current interest in mathematics and mathematical physics. Topics include: relations with topological quantum field theory, advances in condensed matter physics, the Kadison-Singer conjecture, and elaboration of the non-commutative geometry paradigm, which places operator algebras at the center of problems in fields from geometry, to mathematical physics, to analytic number theory and beyond. More information is available at the conference web sitehttps://www.math.upenn.edu/~deturck/kadison-conference/index.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.

该奖项为参加2019年3月30日至31日在宾夕法尼亚大学数学系举行的“21世纪算子代数”会议提供资金。会议的重点是分析的最新发展，特别是在算子代数领域及其在物理学中的应用。会议的目的是促进算子代数领域本身的发展，以及告知非专业人员这些方法在解决该领域以外问题方面的力量。几位杰出的数学家已同意出席这次会议并发言。该奖项为早期职业研究人员、未被充分代表的群体成员以及没有其他资金来源的研究人员提供了参加和参与本次会议的机会。算子代数为整个数学问题提供了一个强大的视角。本次会议将回顾这一领域的许多成就，特别是与Richard V. Kadison的工作有关的成就，以及它们与当前对数学和数学物理感兴趣的问题的关系。主题包括：与拓扑量子场论的关系，凝聚态物理的进展，卡迪逊-辛格猜想，以及非交换几何范式的阐述，该范式将算子代数置于几何、数学物理、解析数论等领域问题的中心。更多的信息可以在会议的网站上找到：https://www.math.upenn.edu/~deturck/kadison-conference/index.htmlThis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。