题    目：A Vanishing Theorem on a Class of Forelli-Rudin Structure

主讲人：陈明明

单    位：河南师范大学

时    间：2025年10月18日   10:00

地    点：学院南阶梯教室

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. When1/p₁ ,1/p₂∈Z⁺, 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  L² cohomology vanishing theorem is valid on the domain.

简    介：陈明明，河南大学2018级基础数学专业硕士，首都师范大学2021级基础数学专业博士。现为河南师范大学数学与统计学院博后，导师冯淑霞教授，研究方向为多复变函数论。