### Landau-Ginzburg/Calabi-Yau correspondence, analytic continuation and global mirror symmetry

**Iritani, H ***(Kyoto)*

Wednesday 13 April 2011, 11:30-12:30

Seminar Room 1, Newton Institute

#### Abstract

Under Landau-Ginzburg/Calabi-Yau correspondence, the quantum cohomology of a weighted projective hypersurface is analytically continued to the FJRW quantum ring of the associated Landau-Ginzburg model. Via the Gamma integral structure, we will see that the analytic continuation is induced from Orlov's equivalence between the derived category of coherent sheaves and the category of matrix factorizations. We also mention to a relation to mirror symmetry. This is based on joint work with Alessandro Chiodo and Yongbin Ruan.