The prominent role of matrix models in physics and mathematics is well known. It is especially interesting that some of those models are exactly solvable, meaning the one can find explicit formulas for correlation functions. This phenomenon has also been called superintegrability of matrix models. I will present some recent attempt to study it systematically and search for its algebraic origins. It leads to an interesting connection with the rapidly developing field of BPS algebras and their representations.

https://indico.math.cnrs.fr/event/11889/