##### Department of Mathematics,

University of California San Diego

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### Algebraic Geometry Seminar

## Amin Gholampour

#### California Institute of Technology (Caltech)

## Quantum Mckay correspondence

##### Abstract:

Let $G$ be a finite subgroup of SU(2) or SO(3). McKay correspondence describes the classical geometry of G-Hilb (the Hilbert scheme of $G$-clusters in $C^2$ or $C^3$) in terms of the representation theory of $G$. We determine the Gromov-Witten invariants of $G$-Hilb and describe it in terms of a root system canonically associated to $G$. This in particular describes the quantum cohomology of $G$-Hilb in terms of the associated root system.

Host: Dragos Oprea

### November 21, 2008

### 2:30 PM

### AP&M 6218

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