Speaker: Yu-Shen Lin (Harvard University)

Title: Reduced Open Gromov-Witten Invariants on K3 Surfaces and Tropical Geometry

Abstract: I will defined an open analogue of reduced Gromov-Witten invariants on K3 surfaces. This new invariants are related to the generalized Donaldson-Thomas invariants in the construction of hyperKähler metric by Gaiotto-Moore-Neitzke. I will explore some properties of the new invariants such as wall-crossing behavior and establish a correspondence between holomorphic disks and tropical disks via this invariants.