报告人：张雷 博士
报告题目：Geometry on the finite time singularity along the continuity method
报告时间：2025年10月25日（周六）16：20-17：10
报告地点：云龙校区6号楼304会议室
主办单位：数学与统计学院、数学研究院、科学技术研究院
报告人简介：
张雷，博士毕业于首都师范大学，导师为张振雷教授。目前在清华大学丘成桐数学科学中心从事博士后研究，合作导师为丘成桐教授。
报告摘要：
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.
