Quantum cohomology of the Hilbert scheme of points in the plane

Andrei Okounkov
(Princeton University)

Friday, November 12, 2004
4:15 pm Room 2-338

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 a joint work with
Rahul Pandharipande.