Spectral geometry of Neumann-Poincare operators and localized resonances

报告题目:Spectral geometry of Neumann-Poincare operators and localized resonances

报告时间:2023113日(周五)下午3:30-4:30 

报告地点:红瓦楼826 

报告人:刘宏宇   教授(City University of Hong Kong 

报告摘要:In this talk, I shall discuss our recent discoveries on the geometric patterns of plasmon resonances, which form the fundamental basis for a series of cutting-edge applications including sensor technology, invisibility cloaking and super-resolution imaging. Two salient features of this resonance phenomenon are the boundary-localization and curvature-concentration. The study relies on certain novel spectral and geometric analysis of the Neumann-Poincare operators. 

报告人简介:Hongyu Liu is a professor of mathematics at City University of Hong Kong. He concurrently holds a Changjiang chair professorship awarded by the Ministry of Education, China. His research focuses on inverse problems and imaging, wave propagation, analysis and PDEs, mathematical materials science, scattering theory, spectral theory, and the theory of mean field games. He is a recipient of the Calder\on Prize by Inverse Problems International Association, and a Fellow of Institute of Physics, UK.

报告邀请人:刘可伋 教授