Moduli Space and Related Topics | Degeneration of Hodge structures and cubic hypersurfaces

Time：Thur., 3:30-5:00 pm, June 22, 2023

Venue：Jinchunyuan West Building, Floor 3

Organizer：Xiang He, Chenglong Yu Dingxin Zhang, Jie Zhou

Speaker：Renjie Lyu 吕人杰中科院 AMSS, Postdoc

Abstract

The degeneration of Hodge structures is related to how a smooth projective variety degenerate. And it provides a Hodge-theoretic perspective to compactify moduli spaces. In this talk, I will focus on a particular degeneration of cubic hypersurfaces and study the associated limiting mixed Hodge structure. It generalizes some results in Radu Laza’s and Brendan Hassett’s works on cubic fourfolds. This is a joint work with Zhiwei Zheng.

DATEJune 22, 2023

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