New Developments in Free Probability and Applications

自由概率及其应用的新进展

• 批准号: 1900856
• 负责人: Kenneth Dykema
• 金额: $ 2.5万
• 依托单位: Texas A&M University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-02-15 至 2020-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1900856&HistoricalAwards=false
• 关键词: New; Developments; Free; Probability; Applications

This award provides funding for US participation in the conference that will be held during the entire month of March 2019, at the Centre de Recherches Mathematiques(CRM) in Montreal, Canada. The conference focuses on recent developments in Free Probability Theory, which is deeply related to topics in several areas of Analysis, including Operator Algebras and Random Matrices, and also to other areas of mathematics such as Combinatorics. Free Probability was created in the 1980s by Dan Voiculescu. His fundamental insight was to treat phenomenon in operator algebras related to free groups in a noncommutative probabilistic framework, with his notion of freeness taking the place of independence. Free Probability Theory has developed extensively; the parallels with usual probability theory are quite far reaching. This has led to fundamental insights and far reaching developments in diverse areas, including Operator Algebras and Random Matrices. The program at CRM includes two workshops, one on theoretical aspects and another on applied aspects of Free Probability. A number of distinguished mathematicians have agreed to attend and speak at this conference. This award gives early career researchers, members of underrepresented groups, researchers not funded by NSF and the like an opportunity to attend and participate in this conference. The organizing committee will strive to make this funding opportunity known to target groups through a number of different activities. More information is available at: http://www.crm.math.ca/crm50/en/march-1-31-2019-new-developments-in-free-probability-and-applications/.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.

该奖项为美国参加将于 2019 年 3 月整个月在加拿大蒙特利尔数学研究中心 (CRM) 举行的会议提供资金。 会议重点讨论自由概率论的最新发展，该理论与多个分析领域的主题密切相关，包括算子代数和随机矩阵，也与其他数学领域（例如组合学）密切相关。 自由概率由 Dan Voiculescu 在 20 世纪 80 年代创建。 他的基本见解是在非交换概率框架中处理与自由群相关的算子代数中的现象，并用他的自由性概念取代了独立性。自由概率论得到了广泛的发展；与通常的概率论的相似之处是相当深远的。 这导致了包括算子代数和随机矩阵在内的不同领域的基本见解和深远的发展。 CRM 的课程包括两场研讨会，一场关于理论方面，另一场关于自由概率的应用方面。 许多杰出的数学家同意参加这次会议并在会上发言。 该奖项为早期职业研究人员、代表性不足群体的成员、不受 NSF 资助的研究人员等提供了参加本次会议的机会。 组委会将努力通过一系列不同的活动让目标群体了解这一资助机会。 更多信息请访问：http://www.crm.math.ca/crm50/en/march-1-31-2019-new-developments-in-free-probability-and-applications/。该奖项反映了 NSF 的法定使命，并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，被认为值得支持。