R202, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 202室)
Recent progress on the spectral theory of Neumann-Poincare operator and plasmon resonance
Hyeonbae Kang (Inha University)
The Neumann-Poincare (NP) operator is a boundary integral operator naturally arising when solving boundary value problem using layer potentials. Its study goes back to Neumann and Poincare as the name suggests. It was the central object in the theory of singular integral operators in the last century. Recently there is rapidly growing interest in the spectrum of NP operator in relation to resonance on plasmonic materials and cloaking by anomalous localized resonance. In this talk we review recent developments in the spectral theory of NP operator and applications.
