Rocky Mountain Mathematics Consortium Summer School on Free Probability, Random Matrices, and Applications

落基山数学联盟自由概率、随机矩阵及应用暑期学校

• 批准号: 2000372
• 负责人: Ping Zhong
• 金额: $ 3.1万
• 依托单位: University of Wyoming
• 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: 2020-06-01 至 2022-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2000372&HistoricalAwards=false
• 关键词: Rocky; Mountain; Mathematics; Consortium; Summer

This award will provide support for the Rocky Mountain Mathematics Consortium (RMMC) Summer School: Free Probability, Random Matrices, and Applications, that will be held from July 13-17, 2020, at the University of Wyoming. This week-long summer school will expose both graduate students and early-career researchers to important mathematics, foster collaboration, and build ties between the participants. Support for this summer school will provide a great opportunity for early-career researchers, members of underrepresented groups, and researchers lacking federal support to interact with some of the best researchers in the field.Free probability, introduced by Voiculescu, is a noncommutative probability theory based on free independence that takes the place of classical independence. It is an extremely rich theory with deep applications to operator algebras and random matrix theory. It has became an essential tool for researchers working on operator algebras, random matrix theory and related fields. At the summer school there will be several mini-courses together as well as research talks. These lectures will bring topics in free probability and random matrix theory to a diverse audience and will help the participants move to the frontiers of this research field. The website of the conference can be found at http://zhuang.snowyrange.science/RMMC2020/index.html.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.

该奖项将为落基山数学财团（RMMC）暑期学校提供支持：免费的概率，随机矩阵和应用，将于2020年7月13日至17日在怀俄明大学举行。本周为期一周的暑期学校将使研究生和早期研究人员都接触重要的数学，促进合作，并在参与者之间建立联系。对这项暑期学校的支持将为早期职业研究人员，人为人数不足的群体的成员以及缺乏联邦支持与该领域的一些最佳研究人员互动的研究人员提供了一个绝佳的机会。FoiculeSCU引入的无偿概率是基于自由独立性的非强制性概率理论。这是一个极富丰富的理论，具有深度应用于操作员代数和随机矩阵理论。它已成为研究操作员代数，随机矩阵理论和相关领域的研究人员的重要工具。在暑期学校，将共同有几个小型音乐会以及研究演讲。这些讲座将为自由概率和随机矩阵理论带来各种受众的主题，并将帮助参与者迁移到该研究领域的前沿。 会议的网站可以在http://zhuang.snowyrange.science/rmmc2020/index.html..html..html..html..html..snas奖中找到反映NSF的法定任务，并被认为是值得通过基金会的知识分子优点和更广泛影响的审查标准来通过评估来获得支持的。