Weingarten calculus in a tensor setup

par Benoît Collins (Kyoto University)

mercredi 13 janv. 2021, 14:00 → 15:00 Europe/Paris

https://greenlight.lal.cloud.math.cnrs.fr/b/fab-49u-gkt

Weingarten calculus addresses the problem of computing the integral of polynomial functions against the Haar measure over compact groups. In the case of classical series, it gives a rational fraction depending on the dimension. In a natural sense, it extends Gaussian (Wick) calculus. We will explain how these computations work, and focus on the case of tensor matrix integrals, whose study we initiated in a series of work in collaboration with Luca Lionni and Razvan Gurau.