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### Nekrasov conjecture for toric varieties

**Geometry/Topology**

Speaker: | Elizabeth Gasparim, University of Edinburgh and UC Berkeley |

Location: | 2112 MSB |

Start time: | Wed, Apr 30 2008, 4:10PM |

Nekrasov conjecture predicts a relation between the N=2 SUSY gauge theory partition function and the SW prepotential. I will phrase this relations precisely in terms of algebraic geometry in one side and symplectic geometry on the other side. This conjecture was proven for instantons on R^4 by Nekrasov-Okounkov, Nakajima-Yoshioka, and Braverman-Etingof. I will report on joint work with Melissa Liu, where we prove the conjecture for instantons on toric surfaces.