Random holomorphic fields on complex manifolds

Release:2017-02-21 Viewed:30

Lecture

Lecturer:Renjie Feng

 ThemeRandom holomorphic fields on complex manifolds

 TimeFeb 2316:30 – 17:30

 Place: The forth lecture room

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 ofL2-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.