Abstract: The notion of a logarithmic Landau-Ginzburg (log LG) model for projective toric manifolds is introduced, which is essentially given by equipping the central degenerate fiber of the Landau-Ginzburg mirror family with a log structure. I will show how to recover the cohomological data of the original toric manifold from such a log mirror. I will also describe a perturbative construction of primitive forms by studying the deformation theory of such a log LG model along the line of the work of Si Li, Changzheng Li and Kyoji Saito. This yields a logarithmic Frobenius manifold structure on the base space of the universal unfolding. This talk is based on recent joint work with Kwokwai Chan and Ziming Nikolas Ma.

Bio: Hao Wen got his PhD at Peking University in 2016 under the supervision of Prof. Huijun Fan and then he worked as postdoc at YMSC for three years. He is now an assistant professor at Nankai University.