Speaker: Dusty Ross (San Francisco State University)
Title: Genus-one mirror symmetry in the Landau-Ginzburg Mode
Abstract: I will discuss an explicit formula for the genus-one Fan-Jarvis-Ruan-Witten invariants associated to the quintic 3-fold. This formula verifies the genus-one mirror symmetry conjecture of Huang, Klemm, and Quackenbush, and is the Landau-Ginzburg analog of the genus-one formula for Gromov-Witten invariants that was proved by Zinger. The proof of the formula involves two steps. The first step is a wall-crossing formula that allows one to compare genus-one FJRW invariants to a related semisimple theory of twisted invariants. The second step is an application of the genus-one formula for semisimple cohomological field theories, proved by Dubrovin and Zhang, which can be used to compute the genus-one twisted invariants. This is joint work with Shuai Guo.