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Geometry and Topology Seminar: October 25, 2024

Posted by on Friday, October 25, 2024 in Geometry and Topology Seminar.

Speaker: Yifan Chen (UC Berkeley)

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 ALH* gravitational instantons in two dimensions. 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.

Contact: Ioana Suvaina