homepeoplearchive

MIT Combinatorics Seminar

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.