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More Complete Calabi-Yau Metrics of Calabi Type

来源: 12-02

时间:Tues., 21:00-22:00, Dec. 3, 2024

组织者:Jialong Deng, Akito Futaki

主讲人:Yifan Chen

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.

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