Speaker: 刘卓（北京雁栖湖应用数学研究院）

Time: 10:00-11:00, Sep. 13

Venue: 数学中心研讨室（至善楼602）

Title: Singular Hermitian metrics on holomorphic vector bundles

Abstract:

Recently，Deng-Ning-Wang-Zhou established a new characterization of Nakano positivity via the optimal $L^2$ estimate condition，which naturally leads to a definition of Nakano positivity for singular Hermitian metrics. In this talk, we will recall $L^2$ theory and converse of $L^2$ theory in several complex variables and share our works on $L^2$ theory for Nakano positive singular Hermitian metrics on holomorphic vector bundles.