Annual Spring Institute on Non-Commutative Geometry and Operator Algebra 2020

该奖项提供资金，帮助支付将于2020年5月1日至7日在田纳西州纳什维尔的范德比尔特大学举行的非对易几何和算子代数春季研究所(NCGOA)的参与者的费用。这次研讨会的主题是Connes的嵌入问题和量子信息理论。在过去的40年里，Connes的嵌入问题已经成为算子代数中最重要的问题之一。它在算子代数中几乎所有的专门化中都发现了等价的版本(其中许多都是出乎意料的)。一个值得注意的等价公式是来自量子信息论的齐里森问题。会议将有几个关于这些主题的迷你课程和研究讲座。这个研究所特别及时，因为最近宣布了Connes嵌入问题的解决方案(使用量子信息论的技术进行了证明)，该研究所将为数学界提供一个场所，让他们了解所宣布的证明的有效性，并帮助形成共识。拟议的演讲者是各自领域的世界领先者，预计这次会议将在算子代数和量子信息理论之间催生新的国际互动。有关该研究所的更多信息可以在网站上找到，https://my.vanderbilt.edu/ncgoa20/This奖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 provides funding to help defray the expenses of participants in the Annual Spring Institute in Noncommutative Geometry and Operator Algebras (NCGOA) to be held at Vanderbilt University in Nashville, Tennessee from May 1 to 7, 2020. The topic for this workshop is Connes’ embedding problem and quantum information theory.Over the last 40 years Connes' embedding problem has emerged as one of the most important problems in operator algebras. It has found equivalent versions (many of them quite unexpected) in almost all specializations within operator algebras. One notable equivalent formulations is Tsirelson’s Problem from quantum information theory. The conference will feature several mini-courses and research talks on these topics. This institute is especially timely as a solution to Connes' embedding problem has recently been announced (with a proof using techniques from quantum information theory), and the institute will provide a venue for the mathematical community to learn about, and help form a consensus as to the validity of, the announced proof. The proposed speakers are world leaders of their fields, and it is expected that the conference will germinate new international based interactions between operator algebras and quantum information theory.Additional information about the institute can be found on the website https://my.vanderbilt.edu/ncgoa20/This 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.