报告人：刘济豪（美国西北大学）

时 间：2023年6月21日上午10:30

地 点：海韵园实验楼111

内容摘要:

Generalized pairs are a natural structure in birational geometry that first appeared in Kodaira’s canonical bundle formula for elliptic fibrations. They were formally introduced by Birkar and Zhang in 2014 as part of their study of effective Iitaka fibrations and have since become a central topic in modern-day birational geometry. In particular, this structure has been essentially utilized in the proof of the Borisov-Alexeev-Borisov conjecture and the McKernan-Shokurov conjecture.  In a series of recent works of myself, Hacon, and Xie, we have established the foundation of the minimal model program (cone theorem, contraction theorem, and the existence of flips) for generalized pairs. In this talk I will discuss these results and provide applications.

个人简介：

刘济豪，美国西北大学的Boas助理教授，于2021年3月在美国犹他大学获得博士学位，导师是Christopher Hacon。他的研究领域是代数几何，在双有理几何中的极小模型理论、低维簇的具体界等前沿问题中取得优秀的成果，已有多篇论文发表/接收在Camb. J. Math., Adv. Math., Peking Math. J.等杂志。

联系人：刘文飞