Yong-Gwan Ji, KIAS Junior Fellow, Korea Institute for Advanced Study

Tao Yin, Associate Professor

Spectral geometry and analysis of the Neumann–Poincaré operator

15:00-16:00 May 20(Tuesday), S615

The Neumann–Poincaré (NP) operator is an integral operator defined on the boundary of a domain, and it naturally arises when solving boundary value problems through layer potential techniques. In recent years, there has been growing interest in the spectral theory of the NP operator, due to its connections with various physical phenomena, including plasmon resonance, cloaking by anomalous localized resonance, and field concentration. In this talk, I will provide a brief overview of the spectral geometry and analysis of the NP operator. After that, I will present some recent results from joint work with collaborators.

报告人简介：Dr. Yong-Gwan Ji is a postdoctoral researcher at the Korea Institute for Advanced Study (KIAS). He received his B.S., M.S., and Ph.D. degrees from Inha University in South Korea. His research interests include spectral geometry and spectral analysis of integral operators, potential theory, and partial differential equations. He has published several research papers in international journals, including Mathematische Annalen, Transactions of the American Mathematical Society, International Mathematics Research Notices, and Annales de l'Institut Henri Poincaré C.