时间：2023年6月16日（周五）10:00-11:00
地点：云谷校区E4-201
主持人：理论开云app官网下载安卓 院 陈国度博士
主讲人:犹他大学 谢灵尧博士
讲座主题：Minimal model program for generalized pairs
讲座摘要:
Generalized pairs were introduced by Birkar and Zhang in [BZ16] in their study of effective Iitaka fibrations, and later became a central topic in modern birational geometry. For exmaple, the theory of generalized pairs is used to prove the Borisov-Alexeev-Borisov conjecture [Bir19, Bir21]. In this talk, I will explain why we care about generalized pairs by showing that they naturally appear in the classification of algebraic varieties. Then I will discuss several recent fundamental results about the Minimal Model Program of generalized log canonical pairs, e.g. Cone theorem ([Hancon-Liu21]), Contraction theorem ([Xie22]), Existence of flips ([Liu-Xie22]), some terminations ([Tsa-Xie23]). The key ingredient in our proofs is Koll\'ar's gluing theory. As some interesting corollaries, we show that glc singularities are Du Bois and the Kodaira vanishing theorem for generalized pairs ([CLX23]).
