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，帮助支付年度春季非交换几何和算子代数研究所 (NCGOA) 参与者的费用，该研讨会将于 2020 年 5 月 1 日至 7 日在田纳西州纳什维尔范德比尔特大学举行。本次研讨会的主题是 Connes嵌入问题和量子信息论。在过去的 40 年里，Connes 的嵌入问题已成为算子代数中最重要的问题之一，它已经找到了等价的问题。算子代数的几乎所有专业领域都有不同的版本（其中许多是令人意想不到的），一个值得注意的等效公式是量子信息论中的 Tsirelson 问题。最近宣布了 Connes 嵌入问题的解决方案（使用量子信息理论技术进行证明），并且该研究所将为数学界提供一个学习场所，并帮助就所宣布的解决方案的有效性达成共识拟议的演讲者都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论之间萌芽新的国际互动。有关该研究所的更多信息可以在网站 https://my.proof 上找到。 vanderbilt.edu/ncgoa20/该奖项反映了 NSF 的法定使命，并通过使用基金会的智力优点和更广泛的影响审查标准进行评估，被认为值得支持。