数学研究所

学术报告

几何拓扑研讨班

Speaker: 严大燊（石溪大学）

Title: A Gluing Theorem For Collapsing Warped-QAC Calabi-Yau Manifolds

Time&Venue: 2024年12月17日（星期二） 10:30-11:30 & 晨兴110

Abstract: We carry out a gluing construction for collapsing warped-QAC Calabi-Yau manifolds in $C^{n+2} n>1$. This gluing theorem verifies a conjecture  by Yang Li on the behavior of the warped QAC Calabi-Yau metrics on affine quadrics when two singular fibers of a holomorphic fibration go apart. We will also discuss a bubble tree structure for those metrics.