Date: Friday, April 18, 2014
Location: 3866 East Hall (4:10 PM to 5:00 PM)
Title: From representations of classical Lie groups to free probability
Abstract: One of the important problems in representation theory is to understand the decomposition into irreducible components for tensor products of representations and for their restrictions to smaller subgroups. For classical Lie groups, solutions to these problems are very combinatorial in nature and involve the study of semistandard Young tableaux and LittlewoodRichardson coefficients. As the dimension of the group tends to infinity, the known formulas become intractable. We will discuss what replaces the combinatorial solutions when the dimension becomes large. I will highlight the connections to the asymptotics of symmetric polynomials, to random lozenge tilings and to free probability.
Files:
Speaker: Vadim Gorin
Institution: MIT
Event Organizer: Sergey Fomin
