Melissa Liu : Nekrasov's conjectures for toric surfaces

Posted by , part of the Algebraic Geometry Seminar.

At

Oct. 18, 2007, 4 p.m.

In

SEO 636

Abstract

The Nekrasov's partition function is computed by localization on framed moduli spaces of torsion-free sheaves on $\mathbb{P}^2$. The Seiberg-Witten prepotential is computed by period integrals of an algebraic curve. The Nekrasov's conjecture (proved in various versions by Nakajima-Yoshioka, Nekrasov-Okounkov, Braverman-Etingof) relates the above two objects. We will discusss generalization of the Nekrasov's partition function and the Nekrasov's conjecture for other toric surfaces. This is a joint work in progress with Elizabeth Gasparim.