Yefeng Shen, University of Oregon

Title: GW/FJRW correspondence for quasi-homogeneous polynomials

Abstract: For a quasi-homogeneous polynomial, we study a correspondence between the genus-zero Gromov-Witten theory of the hypersurface determined by the polynomial and the genus-zero Fan-Jarvis-Ruan-Witten theory of the singularity determined by the polynomial. This generalizes the genus zero Landau-Ginzburg/Calabi-Yau correspondence studied in the work of Chiodo-Iritani-Ruan, when the hypersurface is Calabi-Yau. The Gamma structures in the GW/FJRW theory play a key role in this story. The talk is based on work (in progress) joint with Jie Zhou, and earlier work (arXiv:2309.07446) joint with Ming Zhang.