华罗庚青年数学论坛

华罗庚青年数学论坛:Birational geometry in the LC category

发布时间:2018-04-10

中科院数学与系统科学研究院

数学研究所

华罗庚数学重点实验室

华罗庚青年数学论坛

综合报告

报告人Prof. Zhengyu HuNational Taiwan University

Birational geometry in the LC category

2018.04.11(星期三),10:30-11:30

点:数学院南楼N913

Abstract :

In birational algebraic geometry we can quantify the type of singularities which occur: the most complex ones are the so-called \Log Canonical"(LC for short). There are milder ones, for example the \KLT" singularities.Most known results around MMP work in the KLT category but not for the LC models. However, many important applications of MMP, such as higher dimensional moduli theory, require us to work with LC models. In this report I will talk about some of the developments in recent years focusing on extending techniques from KLT to LC. The sketches of the proofs will be briefly discussed.


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