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Explore the construction of complete Calabi-Yau metrics in this 48-minute conference talk by Yang Li at BIMSA. Delve into historical developments, including Lebrun's observation of the Taub-NUT metric as a nontrivial Calabi-Yau metric on $\mathbb{C}^2$. Examine the main result: the construction of a complete Calabi-Yau metric on $\mathbb{C}^3$. Investigate motivations derived from collapsing Calabi-Yau metrics on Calabi-Yau 3-folds with Lefschetz K3 fibrations. Gain insights into exotic Calabi-Yau metrics and their relationship to holomorphic fibrations in this advanced mathematical presentation.
