Title: Landau-Ginzburg/Calabi-Yau correspondence in one dimension
Speaker: Yefeng Shen (Oregon University)
Abstract: One way to understand Landau-Ginzburg/Calabi-Yau correspondence is to study Gromov-Witten theory of a Calabi-Yau variety (or orbifold) and Fan-Jarvis-Ruan-Witten theory of a counterpart LG model for a quasihomogeneous polynomial. When the target Calabi-Yau is one dimensional, their GW/FJRW invariants are controlled by tautological relations from moduli space of stable curves. They are coefficients of expansions of appropriate quasi-modular forms at different points. As a consequence, we can realize the correspondence by Cayley transformations.
Time: 2018/1/15 4:00-5:00PM