Time: Wednesday Jun. 18, 15:45-17:45.

Venue: Room 82J04, Jia Yi Bing Building, 82 Jing Chun Yuan, BICMR

Speaker: Yefeng Shen

Abstract: I would like to talk about the mirror theorem between the Saito- Givental theory of exceptional unimodular singularities on Landau-Ginzburg B-side and the Fan-Jarvis-Ruan-Witten theory of their BHK-mirror partners on Landau-Ginzburg A-side. On the B-side, we develop a perturbative method to compute the genus-zero correlation functions associated to the primitive forms. This is applied to the exceptional unimodular singularities, and we show that the numerical invariants match the orbifold-Grothendieck-Riemann- Roch and WDVV calculations in FJRW theory on the A-side. The coincidence of the full data at all genera is established by reconstruction techniques.

This is joint work with Changzheng Li, Si Li and Kyoji Saito.