Hurwitz numbers, matrix models, commuting operators

Abstract: We will analyze how matrix models are related to arbitrary Hurwitz numbers. There are equivalent descriptions using

(a) differential operators

(b) oscillatory algebra and bosonic Fock space.

Commuting sets of such operators will be presented. This is a modification of Calogero's quantum Hamiltonians at a special point.

mathematical physicsanalysis of PDEsdifferential geometry

Audience: researchers in the topic

( paper | video )

Geometry of differential equations seminar