Boundedness of klt good minimal models (I，II)

：江孝炜（清华大学）
：2025-05-13 10:00
：海韵园实验楼S308

报告人：江孝炜（清华大学）

时  间：2025年5月13日10:00 & 5月14日14:00

地  点：海韵园实验楼S308

内容摘要:

According to the Minimal Model Program and the Abundance Conjecture, any variety with mild singularities and non-negative Kodaira dimension is birational to a good minimal model, that is, a model with semiample canonical divisor. From the perspective of the classification of algebraic varieties, it is natural to ask whether such good minimal models form a bounded family.

In the first part of the talk, I will review some background on the boundedness of algebraic varieties and present my work on the boundedness of klt good minimal models after fixing some natural invariants. In the second part, I will discuss joint work with Junpeng Jiao and Minzhe Zhu on the boundedness in codimension one of klt good minimal models under weaker assumptions.

个人简介：

江孝炜，清华大学数学系在读博士研究生，导师是Caucher Birkar教授。江孝炜的研究领域是双有理几何，目前主要关注极小模型纲领与代数簇的有界性问题。

 

联系人：周楚宇