报告题目：Lyons-Peres conjecture报告人：邱彦奇  中国科学院数学与系统科学研究院

报告时间：12月7日周四下午16：00-17:00 

报告地点：1518

报告摘要: 

I will explain the Lyons-Peres conjecture in the theory of determinantal point processes (DPP). This conjecture asks certain completeness of a DPP with orthogonal projection correlation kernel. In a particular case, it asks whether almost surely the random set of zeros of the Gaussian random analytic function is the set of uniqueness for Bergman space. Recently, in a joint work with Alexander Bufetov and Alexander Shamov, we solve completely the Lyons-Peres conjecture. Our method is based on proving the existence and a precise description of conditional correlation kernels for conditional DPP.