Introduction to the density of positive closed currents and some applications

Time:

Venue/Location: C102, VIASM

Speaker: Huỳnh Đình Tuân, (ĐH Sư phạm, ĐH Huế)

Content:

Recently, Dinh-Sibony introduced  the notion of density currents associated to a family  of finite positive closed currents on a compact Kahler manifold. In the case where such density current is uniquely determined, it could be used to define a suitable wedge product of currents, called Dinh--Sibony's product. The notion of density currents extends the classical theory of intersection for positive closed currents, and has several deep applications on complex dynamical systems.

In the first talk, we will recall some fundamental works on the theory of intersection of positive closed currents. We then describe the main result in the theory of density currents. If time permits, we will explain some key applications of this theory.