报告人：王欢 （华东师范大学）

报告题目：Semipositivity of line bundles and the growth of cohomology

报告摘要：Firstly, we recall Siu and Demailly's proof of Grauert-Riemenschneider conjecture, and explain Berndtsson's refined estimates on the cohomology of semipositive line bundles on compact complex manifolds. Secondly, we discuss two questions on nef and pseudoeffective line bundles given by Demailly and Matsumura analogue to Berndtsson's estimates. In this direction, we introduce a pointview of Matsumura to prove vanishing theorems via asymptotic vanishing theorems and injectivity theorems. In the end, we will talk our recent progress on the growth of dimension of cohomology of semipositive line bundles on non-compact complex manifolds.

报告时间：2018年12月12日（星期三）上午10：00--11：00

报告地点：科技楼（南）702室