Operator Algebras in the Twenty-First Century

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“二十一世纪算子代数”会议提供资金。会议的重点是分析的最新发展，特别是在算子代数及其在物理学中的应用。会议旨在促进算子代数领域本身的发展，并向非专业人士介绍这些方法解决该领域以外问题的能力。几位杰出的数学家已同意出席这次会议并在会上发言。该奖项为早期职业研究人员，代表性不足的群体成员和没有其他资金来源的研究人员提供了参加本次会议的机会。算子代数为整个数学问题提供了一个强有力的视角。本次会议将审查一些许多成就在这一领域，特别是有关的工作理查德五.凯迪逊，以及他们的关系，目前感兴趣的问题，在数学和数学物理。 主题包括：与拓扑量子场论的关系，凝聚态物理学的进展，Kadison-Singer猜想，以及非交换几何范式的阐述，这使得算子代数成为从几何到数学物理，到解析数论等领域问题的中心。更多信息可在会议网站https：//www.example.com上获得www.math.upenn.edu/~deturck/kadison-conference/index.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。

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.