NCTS(South)/ NCKU Math Colloquium


DATE2011-12-08¡@15:00-17:00

PLACER204, 2F, NCTS, NCKU

SPEAKER±iÃh¨} ±Ð±Â¡]Department of Mathematics, HKUST¡^

TITLE On Algebro-geometric proof of Li-Zinger Conjecture for g=1 Gromov-Witten invariant of Quintic Calabi-Yau threefold.

ABSTRACT The Guffin-Sharpe-Witten model gives a different approach to Gromov-Witten invariant of Calabi-Yau threefold. We will introduce its application to Li-Zinger Conjecture about separation of contributions to GW invariants from different components of moduli spaces. For the case of g=1 we apply Guffin-Sharpe-Witten model to solve the separation problem.

We will first briefly review Zinger's symplecto-geometric proof. After that we discuss the algebro-geometric proof under the setup of modular blowup of Hu-Li and GSW model. It is a joint work with Jun Li.