科学研究
报告题目:

Extension theorems with singular weights and applications

报告人:

朱朗峰 副教授(武大数学与统计学院)

报告时间:

报告地点:

理学院东北楼四楼报告厅(404)

报告摘要:

In this talk, we mainly discuss extension theorems with singular weights on Kähler manifolds and their applications. We will discuss a refined optimal L² extension theorem with singular weights on Kähler manifolds and its applications to twisted pluricanonical sheaves. We will also discuss an extension theorem with singular weights for cohomology classes defined on a not necessarily reduced analytic subvariety and its applications to injectivity theorems and vanishing theorems. These are joint works with Professor Xiangyu Zhou.