Algebraic Geometry Seminar
Melissa Liu
Northwestern University
Nekrasov's conjectures for toric surfaces
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.
Thursday October 18, 2007 at 4:00 PM in SEO 636