Spectral Theory of Localized Resonances and Applications

Deng Youjun, Professor at School of Mathematics and Statistics, Central South University. He was an postdoctoral researcher at Inha University and Ecole Normale Supérieure, respectively. His main research fields are applied mathematics and computational mathematics, including inverse problems in mathematical physics, wave imaging and invisibility, partial differential equations, mathematical theory in metamaterials, integral operator spectrum theory and numerical calculation.Hongyu Liu, Professor of Mathematics at City University of Hong Kong. He held faculty positions at Hong Kong Baptist University, University of North Carolina at Charlotte (USA), University of Reading (UK) and University of Washington at Seattle (USA) before taking up the current position. His research focuses on the analysis, computations and applications of inverse problems, wave imaging, partial differential equations, mathematical materials science, scattering theory and spectral theory, as well as bionic learning and artificial intelligence.

• Introduction and preliminaries.- Mathematical theory of plasmon/polariton resonances in quasi-static regime.- Anomalous localized resonances and its cloaking effect.- Localized resonances for anisotropic geometry.- Localized resonances beyond the quasi-static approximation.- Interior transmission resonances.