时间：2025年1月20日(星期一)，16:00-17:00
地点：E4-201
主持人：Xin Fu, ITS
主讲人：Liding Huang, Xiamen University
报告主题：The form-type Calabi-Yau equation on a class of complex manifolds
报告摘要：The Calabi-Yau theorem says that given any smooth representative $\Phi$ of the first Chern class, there exists a unique K\”ahler metric $\omega$ cohomologous to $\alpha$ such that $Ricci(\omega)=\Phi$. It is natural to investigate whether similar results hold when the manifolds is non-K\”ahler. In this talk, we will introduce the form type Calabi-Yau equation which can used to prove a version of the Calabi conjecture for balanced metrics. We define the astheno-Ricci curvature and prove that there exists a solution for the form type Calabi-Yau equation if the astheno-Ricci curvature is non-positive.
