多复变与复几何学术活动：Random polynomials on C and random holomorphic sections on Riemann surfaces

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

报告人：吴昊(新加坡国立大学)

题  目：Random polynomials on C and random holomorphic sections on Riemann surfaces

时  间：6月8日下午3点-5点

地  点：N913

摘 要： Random polynomial is a classical topic in probability theory.  In this talk, I will first recall the notations of complex random polynomials and Gaussian entire function. Then I will give the connection between complex random polynomials and random holomorphic sections on a compact Riemann surface, which was mainly studied by Shiffman-Zelditch in last thirty years. Finally, I will talk about the hole conditional probability or expectation under this setting, which gives a very interesting and surprising phenomenon.