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Degenerate Hessian type equations on compact complex manifolds.

组织者

丘成栋

演讲者

林耿龙

时间

2024年08月23日 10:30 至 11:30

地点

清华大学理科楼 A304

摘要

Degenerate Monge-Ampere/Hessian equations play an important role in recent Differential Geometry and Complex Algebraic Geometry. In this talk we will review recent progress on Monge-Ampere equation and talk about a class of degenerate Monge-Ampere equations. As an application, we give an generalization on a solution of Dinew-Guedj-Zeriahi's conjecture due to Darvas-Di Nezza-Lu. Secondly, we will give an characterization of finite energy range of Hessian operator, which generalized the Monge-Ampere ones proved by Darvas-Di Nezza-Lu. The talk is based on my work and the joint work with Yinji Li and Prof. Xiangyu Zhou.