Zu Chongzhi Mathematics Research Seminar

Date and Time (China standard time): Monday, March 17, 4:00 pm – 5:00 pm

Location: WDR 1003

Zoom: 977 0410 8814, Passcode: dkumath

Title: Real variable things for the Bergman kernel

Speaker: Yuanpu Xiong

Abstract: We will introduce some applications of real analysis in Bergman theory. The main tools in this talk are some functional inequalities, such as the Hardy inequalities and Poincare-Friderichs inequalities. We will discuss two types of results. The first is on the L^p integrability of the Bergman kernel on a planar domain where certain Hardy inequality holds. The second is on the relationship between the minimum of the Bergman kernel function and the first Dirichlet eigenvalue of the Laplacian.

Bio: Dr. Yuanpu Xiong is a postdoc at Fudan University. He obtained his PhD at Fudan University in 2023. Yuanpu’s main research area is in the field of several complex variables.  His work has been published in prestigious journals such as CVPDE and Proc. of AMS.