EVENT DETAILS AND ABSTRACT

Title: Open Gromov-Witten Invariants on K3 Surfaces and Wall-Crossing
Speaker: Yu-Shen Lin
Speaker Info: Harvard University
Brief Description:
Special Note:
Abstract:

The Strominger-Yau-Zaslow conjecture suggests that the Ricci-flat metric on Calabi-Yau manifolds might be related to holomorphic discs. In this talk, I will define a new open Gromov-Witten invariants on elliptic K3 surfaces. The new invariant satisfies certain wall-crossing formula and multiple cover formula. I will also establish a tropical-holomorphic correspondence. Moreover, this invariant is expected to be equivalent to the generalized Donaldson-Thomas invariants in the hyperK\"ahler metric constructed by Gaiotto-Moore-Neitzke.