题目：Free probability, aspects and applications in analysis and combinatorics
报告人：钟平（加拿大滑铁卢大学、武汉大学）
时间：5月4日，16:00--17:00
地点：格物楼522学术报告厅
摘要：Free probability is a probability theory of noncommutative random variables. It is an interdisciplinary research area lying in the interface between functional analysis and probability. Deep connections with operator algebras and random matrices illustrate some of the various interactions between free probability and a variety of research fields. In this talk, I will survey some of the ideas and concepts of free probability which have impacts on combinatorics and quantum information theory. I plan to discuss in particular: 1) an operator model for semi-meander polynomial and its $q$-deformation, 2) free probability and random matrix techniques to study some problems related to quantum states.
