Hodge Laplacian and geometry of Kuranishi family of Fano manifolds
科研大讨论系列报告
报告题目(Title)：Hodge Laplacian and geometry of Kuranishi family of Fano manifolds
报告人(Speaker)：Akito Futaki 教授（清华大学）
地点(Place)：后主楼1220
时间(Time)：9月15日下午15:00 - 16:00
邀请人(Inviter)：彦文娇
报告摘要
We first obtain eigenvalue estimates for the Hodge Laplacian on Fano manifolds, which follow from the Bochner-Kodaira formula. Then we apply it to study the geometry of the Kuranishi family of deformations of Fano manifolds. We show that the original Kähler form remains to be a Kähler form for other members of the Kuranishi family, and give an explicit formula of the Ricci potential. We also show that our set-up gives another account for the Donaldson-Fujiki picture. This is a joint work with X.F. Sun and Y.Y.Zhang.
