时间：2026年9月9日(星期三)，10:00-12:00
地点：E14-212
主持人：韩骥原 理论科学研究院
主讲人：梁睿明 北京大学
报告主题：Construction of noncompact complete Calabi-Yau metrics
报告摘要：In this talk, I will first briefly review the history of the construction of complete noncompact Calabi–Yau metrics. I will then explain my recent construction on K3 fibrations [1]. The main difficulty lies in the fact that the semi-Ricci-flat approximation at infinity provides an ansatz whose sectional curvature is not uniformly bounded. As a result, the traditional Tian–Yau–Hein package cannot be applied directly. The main strategy is to collapse the fiber and employ a global gluing construction, then develop an optimal linear theory for the collapsing ansatz. This enables us to apply the implicit function theorem between Banach spaces and perturb the ansatz into a genuine Calabi–Yau metric.
Reference: [1] Liang R. Complete Calabi-Yau metrics on noncompact K3 fibered threefolds[J]. arXiv preprint arXiv:2606.13011, 2026.
