New Developments in Free Probability and Applications

该奖项为美国参加将于2019年3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。会议的重点是自由概率理论的最新发展，该理论与分析的几个领域的主题密切相关，包括算子代数和随机矩阵，也与组合数学等其他数学领域有关。自由概率是丹·沃库列斯库在20世纪80年代创立的。他的基本见解是在非对易概率框架中处理与自由群有关的算子代数中的现象，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。这导致了在不同领域的基本见解和深远的发展，包括算子代数和随机矩阵。CRM的课程包括两个研讨会，一个是关于理论方面的，另一个是关于自由概率的应用方面的。许多杰出的数学家已同意出席这次会议并在会上发言。这一奖项为早期职业研究人员、代表不足的团体的成员、不受NSF资助的研究人员等提供了出席和参与这次会议的机会。组委会将通过一系列不同的活动，努力让目标群体了解这一筹资机会。欲了解更多信息，请访问：http://www.crm.math.ca/crm50/en/march-1-31-2019-new-developments-in-free-probability-and-applications/.This奖项反映了国家科学基金会的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

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.