6-30【陈逸梵】More Complete Calabi-Yau Metrics of Calabi Type

发布时间:2024-06-21来源:几何与物理研究中心中文网页浏览次数:10

报告人:陈逸梵美国加州大学伯克利分校

时间:2024年6月30日 15:00-16:30

地点:五教5104


  

We construct more complete Calabi-Yau metrics of Calabi type. 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 HSVZ, 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.