R202, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 202室)
Equidistribution of Zeros of Random Holomorphic Sections
Guokuan Shao (Sun Yat-Sen University)
Abstract
Distribution of zeros of random polynomials is a classical result. The normalized zeros of complex Gaussian random polynomials of large degree tend to become uniformly distributed on the unit circle. More generally, equidistributions of zeros of random holomorphic sections of a line bundle have been studied.
In this talk, we will first discuss some results on equidistributions with standard measures.
Then we will discuss the cases with general measures.