MS Seminar (Mathematics - String Theory)

Speaker: Yefeng Shen (U of Oregon)
Title: Landau-Ginzburg/Calabi-Yau correspondence in one dimension
Date (JST): Tue, Jan 09, 2018, 15:30 - 17:00
Place: Seminar Room B
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 quasi homogeneous polynomial. When the target Calabi-Yau is one dimensional, their GW/FJRW invariants are controlled by tautological relations and WDVV equations. They are coefficients of expansions of appropriate quasi-modular forms at different points. As a consequence, we can relate these expansions by Cayley transformations. We will also compare this method with Milanov-Ruan's realization of LG/CY correspondence in orbifold cases.