概率论系列报告（讨论班）——Random holomorphic fields on complex manifolds
主 题: 概率论系列报告（讨论班）——Random holomorphic fields on complex manifolds
报告人: 冯仁杰 博士 (北京国际数学研究中心)
时 间: 2017-03-13 15:00-16:00
地 点: 理科1号楼1303
Abstract: Random holomorphic sections of positive holomorphic line bundle on complex manifolds are natural generalization of random polynomials. In my talk, I will first define the random holomorphic fields and exhibit several well-known results. Then two of my results (joint with S. Zelditch) on the extrema of random fields will be given: the distribution of critical values and the mean value of the supremum of L^2-normalized fields. I will also talk about my recent results on the correlations of zeros and critical points of random analytic functions. I will also discuss several open problems.