Differential Geometry Seminar

Organizers：

Jialong Deng, Akito Futaki

Speaker：

Yifan Chen (Berkeley)

Time：

Tues., 21:00-22:00, Dec. 3, 2024

Title：

More Complete Calabi-Yau Metrics of Calabi Type

Abstract：

We construct more complete Calabi-Yau metrics asymptotic to Calabi ansatz. They are the higher-dimensional analogues of two dimensional ALH* gravitational instantons. Our work builds on and generalizes the results of Tian-Yau and Hein-Sun-Viaclovski-Zhang, creating Calabi-Yau metrics that are only polynomially close to the model space. We also prove the uniqueness of such metrics in a given cohomology class with fixed asymptotic behavior.