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.

该奖项为我们参加将在2019年3月在加拿大蒙特利尔的De Recherches Mathematiques（CRM）举行的会议提供资金。 该会议的重点是自由概率理论的最新发展，该理论与多个分析领域（包括操作员代数和随机矩阵）以及其他数学领域（如组合术）（例如组合学领域）深深相关。 自由概率是由Dan Voiculescu在1980年代创建的。 他的基本见解是在非共同概率框架中以与自由群体相关的操作员代数的现象，并以他的弗雷尼斯（Freeness）的概念取代了独立性。自由概率理论已广泛发展。与通常的概率理论的相似之处相当远。 这导致了基本的见解，并在包括操作员代数和随机矩阵在内的各个领域的发展发展。 CRM的计划包括两个研讨会，一个关于理论方面的研讨会，另一个关于自由概率的应用方面。 许多杰出的数学家已同意参加并在这次会议上发言。 该奖项为早期的职业研究人员，代表性不足的团体的成员，未由NSF资助的研究人员提供了参加和参加这次会议的机会。 组织委员会将努力通过许多不同的活动为目标群体提供这个资金机会。 更多信息可从以下网址获得：http：//www.crm.math.ca/crm50/en/march-1-31-2019-new-developments-in-free-probability-andapplications/.this奖，反映了NSF的法定任务，并认为通过基金会的知识优点和广泛的crietia crietia crietia crietia criperia criperia criperia criperia criperia criperia criteria criperia criteria criperia criperia均值得通过评估。