BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Matias Ruiz (University of Edinburgh) DTSTART:20211001T140000Z DTEND:20211001T150000Z DTSTAMP:20260423T003234Z UID:VMAS/20 DESCRIPTION:Title: Ma thematical aspects of nanophotonics\nby Matias Ruiz (University of Edi nburgh) as part of Virtual Maxwell Analysis Seminar\n\n\nAbstract\nIn the last couple of decades\, the field of nanophotonics\, i.e. the study of li ght-matter interactions at the nanoscale\, has gained enormous importance in different disciplines of science and engineering. A large portion of th is field concerns the study of electromagnetic resonances in nanoparticles which are\, in turn\, the building blocks of many applications in energy\ , healthcare\, material science\, to name a few.\n\nThe description of the se resonances relies on interesting math problems with strong connections to PDE spectral problems\, both self-adjoint and non-self-adjoint. As such \, there is a growing interest from the math world in tackling some of the mathematical issues arising in nanophotonics. For instance\, a canonical problem is the Laplace transmission problem showing a sign-change in the P DE coefficients\, whose solutions can be understood in terms of the spectr al properties of the Neumann-Poincare operator (and/or the so-called plasm onic eigenvalue problem).\n\nIn this applied analysis talk I will introduc e some of the mathematically interesting problems arising in nanophotonics and discuss recent analytical results in the analysis of resonances in me tallic nanoparticles (also known as plasmonic resonances)\, which include the use of layer potential techniques and asymptotic analysis.\n LOCATION:https://researchseminars.org/talk/VMAS/20/ END:VEVENT END:VCALENDAR