报告题目：(p,q)-形式的形变和Frölicher谱序列的退化

报告时间：2024-01-16  15:30-16:30

报 告 人：夏炜 副教授 (重庆理工大学）

报告地点：东北楼209，腾讯会议908-476-773

Abstract：It is well-known that Hodge numbers are invariant under deformations of complex structures if the Frölicher spectral sequence of the central fiber degenerates at the first page (i.e.E_1=E_∞). As a result, the deformations of (p,q)-forms are unobstructed for all (p,q)if E_1=E_∞. We refine this classical result by showing that for any fixed (p,q)the deformations of (p,q)-forms are unobstructed if the differentials d_r^(p-i,q+i) in the Frölicher spectral sequence vanish for any i≥0 and r≥1. Compared to the existing results, our theorems are more flexible and expected to have wider range of applications. This is a joint work with XueyuanWan.