Optimal Degenerations of K-unstable Fano Threefolds

：缪铭昊（南京大学）
：2025-04-24 15:30
：海韵园实验楼S107

报告人：缪铭昊（南京大学）

时  间：2025年4月24日15:30

地  点：海韵园实验楼S107

内容摘要:

In this talk, we will propose a question of how to explicitly determine the optimal degenerations of the K-unstable Fano manifolds as predicted by the Hamilton-Tian conjecture. We answer this question for a family of K-unstable Fano threefolds (No 2.23 in Mori-Mukai's list). Our approach is based on a new method to check weighted K-stability, which generalizes Abban-Zhuang's theory to give an estimate of the weighted delta invariant by dimension induction. Some speculative relations between the delta invariant and the H invariant will also be discussed. This is based on a joint work with Linsheng Wang.

个人简介：

缪铭昊，南京大学数学学院在读博士研究生，导师是田刚院士。缪铭昊的研究领域是K稳定性，目前主要关注Fano流形上与Kahler-Ricci soliton度量相关的代数问题。

 

联系人：周楚宇