数学学科2026系列学术报告之十二

　　报告题目：A Vanishing Theorem on a Class of Forelli-Rudin Structure

　　报告人：王安

　　报告时间：2026年05月08日（星期五）16:00-17:30

　　报告地点：理学院1-301

　　摘要: We focus on the d-boundedness of the Bergman kernel function on a class of Forelli-Rudin structure. We use the series method and Hua’s method to derive the expression of the Bergman kernel function. When , we provide the finite form of the Bergman kernel function for the domain. By holomorphic invariants, we obtain that the Bergman kernel function is d-bounded with respect to its Bergman metric. As a corollary, we have that the  cohomology vanishing theorem is valid on the domain.

　　报告人简介：王安，博士，首都师范大学数学科学学院，教授，博士生导师，主要研究方向为多复变函数论和中小学数学教育。主持、参加国家自然科学基金项目和北京市自然科学基金项目10多项。已在 Asian J . Math ., J . Geom . Anal ., J . Math . Anal . Appl ., Nagoya Math . J ., Sci . China Ser . A 等期刊发表论文50多篇 。