報告人：張雷 博士

報告題目：Geometry on the finite time singularity along the continuity method

報告時間：2025年10月25日（周六）16：20-17：10

報告地點：云龍校區(qū)6號樓304會議室

主辦單位：數(shù)學與統(tǒng)計學院、數(shù)學研究院、科學技術(shù)研究院

報告人簡介：

張雷，博士畢業(yè)于首都師范大學，導(dǎo)師為張振雷教授。目前在清華大學丘成桐數(shù)學科學中心從事博士后研究，合作導(dǎo)師為丘成桐教授。

報告摘要：

In this talk, we will concern about a class of finite time singularities along continuity equation over a compact Kahler manifold. For the collapsing case, we prove that the Gromov-Hausdorff limit is unique under the assumption of the Kahler class. Furthermore, we can obtain that the limit space is homeomorphic to a manifold when Ricci curvature of limit metric is bounded from below on the regular part. For the noncollapsing case, it is showed that its Gromov-Hausdorff limit is isometric to the completion of ample locus of limit class with respect to limit metric. Furthermore, we can obtain the regular part of the limit space is geodesically convex and every tangent cone of the limit space is homeomorphic to a normal affine algebraic variety. This talk based on a joint work with my advisor Prof. Zhenlei Zhang.