## Free Probability & Random Matrices Seminar

### Tuesday, February 11th, 2020

**Time:** 1:00-2:00 p.m. **Place:** Jeffery Hall 202

**Speaker:** Jamie Mingo (Queen's University)

**Title:** A Survey of the Weingarten Calculus.

**Abstract: **The Weingarten calculus is a method for calculating the expectation of products of entries of Haar distributed unitary (or orthogonal) matrices. The basic tool is Schur-Weyl duality, however I will present an approach based on Jucys-Murphy operators. The Weingarten calculus started with Don Weingarten in 1978. Many authors have contributed since then. This talk will be based on papers of Collins, Sniady, and Zinn-Justin.

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