Wednesday, February 15th, 2017
11:00am - 12:00pm, in McCormack 2-419

Yefeng Shen

Stanford University

Three conjectures in Fan-Jarvis-Ruan-Witten theory

Abstract: Gromov-Witten theory counts stable maps from curves to algebraic varieties or symplectic manifolds. Fan-Jarvis-Ruan-Witten theory is a counterpart of GW theory. It is an enumerative theory of a Landau-Ginzburg model with a quasi-homogeneous polynomial superpotential. I will talk about some progress on three conjectures in FJRW theory: a Landau-Ginzburg mirror symmetry conjecture, a LG/CY correspondence conjecture, and a Modularity conjecture. These conjectures characterize the theory itself and reveal the relations among FJRW theory, GW theory, and deformation theory.