A nonstationary deformation of the Calogero-Sutherland
quantum many-body system

Andrei Okounkov

Abstract: I will describe the quantum multiplication in cohomology of the Hilbert scheme of points in the plane.
The operator of quantum multiplication by the divisor class is a curious nonstationary deformation of the quantum
Calogero-Sutherland many-body system. Several results and conjectures on the corresponding deformation of Jack
polynomials will be presented.

(Based on joint work with Rahul Pandharipande.)