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More Complete Calabi-Yau Metrics of Calabi Type

Introductory Workshop: Special Geometric Structures and Analysis September 03, 2024 - September 06, 2024

September 03, 2024 (11:30 AM PDT - 12:30 PM PDT)
Speaker(s): Yifan Chen (University of California, Berkeley)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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More Complete Calabi-Yau Metrics of Calabi Type

Abstract

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In this talk I will construct more complete Calabi-Yau metrics of Calabi type. They are higher-dimensional analogues of ALH* gravitational instantons in two dimensions. This work builds on and generalizes the results of Tian-Yau and Hein-Sun-Viaclovsky-Zhang, creating Calabi-Yau metrics that are only polynomially close to the model space. I will also show the uniqueness of such metrics in a given cohomology class with fixed asymptotic behavior.

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More Complete Calabi-Yau Metrics of Calabi Type

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