讲座题目：A valuative criterion of K-polystability
主讲人：王淋生 博士后
主持人：戚鲁 紫江青年学者
开始时间：2024-11-14 09:50
讲座地址：闵行校区数统北楼102报告厅
主办单位：数学科学学院
报告人简介：
王淋生，博士毕业于南京大学，导师为田刚教授，目前在复旦大学上海数学中心从事博士后研究。主要从事代数几何和微分几何尤其是K-稳定性相关问题的研究，结果发表于Math. Z. ， Math. Nachr. 等权威数学期刊。
报告内容：
If the delta invariant of a Fano manifold is greater than one, then the Fano manifold is K-stable and admits a KE metric. In this case, it admits no nontrivial holomorphic vector field. For a Fano manifold with nontrivial holomorphic vector fields, we will introduce another \"delta\" invariant characterizing its K-polystability. Moreover, the g-weighted version of this invariant can be used to characterizing the existence of g-solitons on a Fano manifold. As an application, we will give a family of Fano threefolds admitting g-solitons for any weight function g.
