Speaker：Xiaowei Jiang (Tsinghua University)

Time：2025-5-13 10:00 & 5-14 14:00

Location：Conference Room S308 at Experiment Building at Haiyun Campus

Abstract:

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.