
题目:Primitive Forms from Log Landau-Ginzburg Mirrors of Projective Toric Manifolds
报告人:文豪(南开大学)
摘要:We introduce the notion of a logarithmic Landau-Ginzburg (log LG) model for projective toric manifolds, which is essentially given by equipping the central degenerate fiber of the Landau-Ginzburg mirror family with a log structure. We show that the state space of the mirror log LG model is naturally isomorphic to that of the original toric manifold. Following the work of S Li, Changzheng Li and K. 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. This yields a logarithmic Frobenius manifold structure on the base space of the universal unfolding.
时间:
3月8日(周五)下午14:00-15:30
3月9日(周六)上午9:30-11:00 下午14:00-15:30
邀请人:王新
联系方式:wangxin2015@sdu.edu.cn