Free Probability and Bialgebras in Vienna

该奖项支持美国参与者(主要是初级数学家)参加2011年在维也纳薛定谔研究所举行的自由概率双代数项目的两个研讨会(2月14日至25日和4月11日至21日)的费用。自由概率是一种高度非交换的概率理论，模型涉及算子代数、随机矩阵和组合学。该计划将受益于一大批专家(来自算子代数、组合学、随机矩阵、经典概率和数学物理)来研究自由概率最新发展的各个方面，特别强调最近在该学科的基础水平上出现的几种双代数结构。第一个工作坊将致力于组合、双代数和分析方面，而第二个工作坊将主要讨论算符代数、随机矩阵和在数学物理方面的应用。获奖为这些数学领域之间的巨大交流提供了潜力，同时也为对这些领域有研究兴趣的年轻数学家(从研究生和博士后开始)提供了一个非常好的机会。

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.