Alexei Oblomkov

Quantum cohomology of Hilbert scheme of points of A_n resolutions

The generator of the ring of the equivariant quantum cohomology of the Hilbert scheme of points of complex plane was computed by A. Okounkov and R. Pandharipande. The construction uses the fact that the complex plane is toric and symplectic. Another surface which has the last two properties is the resolution of the A_{n-1} singularity. This case is treated in the joint work with D. Maulik. In my talk I will discuss only the case of the plane and A_1.