中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

多复变与复几何学术活动

Some Topics in Several Complex Variables

代数几何研讨班

报告人: Duc-Viet Vu（德国科隆大学博士后）

题 目：Intersection of closed positive currents and applications
时 间：2019.09.09(星期一),上午9:30-10:30

地 点：数学院南楼N902室

摘 要：The notion of currents generalizes both those of differential forms and submanifolds.  Understanding the intersection of closed positive currents is a major problem in pluripotential theory. I will give an overview of this problem and present some of its applications to complex dynamics and complex geometry.

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报告人: Duc-Viet Vu（德国科隆大学博士后）

题 目：Equidistribution of Fekete points of large orders 
时 间：2019.09.11(星期三)，15:00-17:00

地 点：数学院南楼N902室

摘 要：Let K be a compact with piecewise smooth boundary in n-dimensional Euclidean space and N_k the dimension of the vector space of the restrictions of real polynomials of n variables to K. A Fekete point of order k is a point in K^{N_k} maximizing the determinant of a certain matrix of Vandermonde type. These points are important in the interpolation problem of continuous functions on K by polynomials. By using deep tools from complex geometry, pluripotential theory, and the Cauchy-Riemann geometry, we prove that Fekete points of large order are equidistributed toward a canonical measure associated to K with an explicit rate of convergence.