Free Probability and Bialgebras in Vienna

维也纳的自由概率和双代数

• 批准号: 1101630
• 负责人: Dan-Virgil Voiculescu
• 金额: $ 2.49万
• 依托单位: University of California-Berkeley
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-12-01 至 2012-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1101630&HistoricalAwards=false
• 关键词: Free; Probability; Bialgebras; Vienna

This award provides support to defray expenses of US participants (primarily junior mathematicians) to attend two workshops (February 14 - 25 and April 11-21) of the Bialgebras in Free Probability program at the Schroedinger Institute in Vienna in 2011.Free probability is a highly noncommutative probability theory with models in operator algebras, random matrices and combinatorics. The program will benefit from a large spectrum of experts (from operator algebras, combinatorics, random matrices, classical probability and mathematical physics) to examine the various sides of recent developments in free probability with a special emphasis on the recent occurrence of several kinds of bialgebra structures at a fundamental level in the subject. The first workshop period will be devoted to combinatorial, bialgebra and analytic aspects, while the second workshop period will be mostly about the operator algebra, random matrix and applications to mathematical physics aspects of the subject.The award provides potential for great cross-fertilization between these areas of mathematics and at the same time a very good opportunity for young mathematicians (starting with graduate students and postdocs) with research interests in these areas.

该奖项提供支持，以支付费用的美国参与者（主要是初级数学家）参加两个研讨会（2月14日至25日和4月11日至21日）的双代数在自由概率计划在薛定谔研究所在维也纳在2011年。自由概率是一个高度非交换的概率理论与模型在算子代数，随机矩阵和组合。该计划将受益于大范围的专家（从算子代数，组合数学，随机矩阵，经典概率和数学物理），以检查自由概率最近发展的各个方面，特别强调最近发生的几种双代数结构的基本水平。第一次研讨会期间将致力于组合，双代数和分析方面，而第二次研讨会期间将主要是关于算子代数，随机矩阵和应用数学物理方面的问题。该奖项提供了巨大的交叉之间的潜力，这些领域的数学和在同一时间一个很好的机会，年轻的数学家（从研究生和博士后开始）在这些领域的研究兴趣。