Lecturer:Renjie Feng
Theme：Random holomorphic fields on complex manifolds
Time：Feb 23，16:30 – 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.