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联盟 (RMMC) 暑期学校：免费概率、随机矩阵和应用提供支持，该暑期学校将于 2020 年 7 月 13 日至 17 日在怀俄明大学举行。这个为期一周的暑期学校将使研究生和早期职业研究人员接触重要的数学，促进合作并在参与者之间建立联系。对这个暑期学校的支持将为早期职业研究人员、代表性不足群体的成员以及缺乏联邦支持的研究人员提供与该领域一些最优秀的研究人员互动的绝佳机会。 由 Voiculescu 提出的自由概率是一种非交换概率论基于取代古典独立的自由独立。它是一个极其丰富的理论，在算子代数和随机矩阵理论中有深入的应用。它已成为从事算子代数、随机矩阵理论及相关领域研究人员的重要工具。在暑期学校，将会有几门迷你课程以及研究讲座。这些讲座将为不同的受众带来自由概率和随机矩阵理论的主题，并将帮助参与者走向该研究领域的前沿。 会议网址为：http://zhuang.snowyrange.science/RMMC2020/index.html。该奖项体现了NSF的法定使命，通过使用基金会的智力价值和更广泛的影响评审标准进行评估，认为值得支持。