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

2020 年春季非交换几何与算子代数研究所

基本信息

批准号：
2000214
负责人：
Jesse Peterson
金额：
$ 4.5万
依托单位：
Vanderbilt University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2020
资助国家：
美国
起止时间：
2020-04-01 至 2023-08-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2000214&HistoricalAwards=false
关键词：
Annual Spring Institute Non Commutative

项目摘要

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.

该奖项提供资金，以帮助支付参与者在非交换几何和算子代数（ncgoa）年度春季研究所的费用将在范德比尔特大学在纳什维尔，田纳西州从2020年5月1日至7日举行。这次研讨会的主题是Connes嵌入问题和量子信息理论。在过去的40年里，Connes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找到了等价的版本（其中许多是相当出乎意料的）。一个值得注意的等价公式是来自量子信息理论的Tsirelson问题。会议将以这些主题的几个小型课程和研究讲座为特色。这个研究所是特别及时的，因为最近宣布了Connes嵌入问题的解决方案（使用量子信息理论的技术进行证明），该研究所将为数学界提供一个场所，以了解并帮助形成关于所宣布证明的有效性的共识。建议的演讲者是各自领域的世界领导者，预计会议将在算子代数和量子信息理论之间产生新的国际基础上的相互作用。有关该研究所的更多信息可以在网站www.example.com上找到https://my.vanderbilt.edu/ncgoa20/This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智力价值和更广泛的影响审查标准进行评估来支持。