报告人：徐梅 博士
报告题目：Gaussian limits for Pfaffian point processes
报告时间：2026年7月3日（周五）上午10：30
报告地点：云龙校区6号楼304报告厅
主办单位：数学与统计学院、数学研究院、科学技术研究院
报告人简介：
徐梅，复旦大学数学科学学院2021级直博生，导师为王凯教授。
报告摘要：
We establish a general central limit theorem for Pfaffian point processes satisfying an almost commutator property, extending Soshnikov’s cumulant framework from the determi nantal to the Pfaffian setting. As principal applications, we obtain central limit theorems forstep-function linear statistics in several fundamental models, including the Sine4, Sine1, and thebulk scaling limit of the real Ginibre ensemble. Our approach provides a unified operator theoretic framework for analyzing fluctuations across a wide class of Pfaffian models.