中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
代数几何研讨班
Speaker: 周楚宇（厦门大学）
Inviter: 刘杰
Language: English
Title: Variation of K-moduli and GIT for cubic-hyperplane pairs
Time&Venue: 2026年10月22日（星期四）10:00-11:00 & N818
Abstract: For cubic-hyperplane pairs (S, H), i.e., S is a cubic hypersurface and H is a hyperplane section on S, one can either apply GIT or K-stability to study the variation of moduli spaces. It turns out that the two viewpoints coincide in this setting, where the dimension three case is contained in an ongoing work with Fei Si and Zheng Zhang. Later, AI produces a proof addressing all dimensional cases. In this talk, I will present this beautiful proof, where the approach is due to AI and also similar to Li-Pan-Wu’s method showing GIT=K for cubic hypersurfaces.