时间:2026年11月17日(周二)15:00-16:00
地点:浙大紫荆港海纳苑2幢206室
报告人:秦翊宸,复旦大学
报告主题:Irregular Hodge theory and mirror Symmetry
报告摘要:Irregular Hodge numbers provide natural invariants of Landau–Ginzburg models and are expected to correspond to the classical Hodge numbers of their mirror Fano varieties. In this talk, we first explain how irregular Hodge numbers can be characterized using limiting mixed Hodge structures, clarifying their relation with the Landau–Ginzburg Hodge numbers of Katzarkov–Kontsevich–Pantev. We then present an analogue of the Batyrev–Kontsevich theorem: under a natural non-degeneracy assumption, irregular Hodge numbers are invariant under crepant birational equivalences. This is a joint work with Dingxin Zhang.