中科院数学与系统科学研究院 

数学研究所 

中科院华罗庚数学重点实验室 

综合报告会 

（Colloquium） 

Speaker：Prof. Yoshinori Gongyo (University of Tokyo) 

Title：Versions of injectivity and extension theorems 

Time：11.18 ，10:30-11:30 

Venue：N913 

Abstract :  

    We give an analytic version of the injectivity theorem by using multiplier ideal sheaves, and prove some extension theorems for the log canonical bundle of dlt pairs. Moreover, by combining techniques of the minimal model program, we obtain results for semi-ampleness related to the abundance conjecture in birational geometry and the semi-ampleness conjecture for hyperKaehler manifolds. This is a joint work with Shin-ichi Matsumura.