Speaker: Yefeng Shen (Stanford University)

Title: LG/CY correspondence in dimension one

Abstract: One way to understand Landau-Ginzburg/Calabi-Yau correspondence is to study Gromov-Witten theory of a Calabi-Yau space and Fan-Jarvis-Ruan-Witten theory of a counterpart LG model. When the target Calabi-Yau is one dimensional, the GW/FJRW invariants are coefficients of expansions of appropriate quasi-modular forms at different points. As a consequence, we can relate these expansions by Caylay transformations.