报告时间：2021年3月24日 10:00

报告地点：数学楼307

报告人：王欢 （台湾中央研究院）

报告摘要：

The positivity and cohomology of line bundle is a classical topic in complex and algebraic geometry. We study the dimension of cohomology of semipositive line bundles on complex manifolds, and obtain the asymptotic estimate for the dimension of the space of harmonic (0,q)-forms with values in high tensor powers of a semipositive line bundle when the fundamental estimate holds. As a consequence, we give a unified approach to extend Siu-Berndtsson’s result to various non-compact manifolds and analytic singular line bundles. We will introduce the background and recent progresses.

邀请人：张影