Seminar| Institute of Mathematical Sciences
Time: Friday, September 12th, 2025,16:00-17:00
Location:IMS, RS408
Speaker: Ma Ziming, Southern University of Science and Technology
Abstract: We introduce the notion of a logarithmic Landau-Ginzburg (log LG) model to study the degenerated mirror at large complex structure limit to toric manifolds. We show that the state space of the mirror log LG model is naturally isomorphic to that of the original toric manifold. Following Li-Li-Saito, we give a perturbative construction of primitive forms by studying the deformation theory of such a log LG model, which involves both smoothing of the central degenerate fiber and unfolding of the superpotential, with explicit calculation in some examples.