BIMSA > Seminar on Algebraic, Complex Geometry and Singularities Seminar on Algebraic, Complex Geometry and Singularities Degenerate Hessian type equations on compact complex manifolds.
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.