Seminar Event Detail


Combinatorics

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 Littlewood-Richardson 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   

 

Edit this event (login required).
Add new event (login required).
For access requests and instructions, contact math-webmaster@umich.edu

Back to previous page
Back to UM Math seminars/events page.