18 au 22 avril 2016
Un progrès remarquable réalisé récemment dans la production de nouveaux matériaux a soulevé des questions mathématiques importantes. Le but de l’atelier proposé est de relever ces défis. Nous prévoyons de porter à des mathématiciens de différentes origines avec des physiciens pour examiner les nouvelles orientations ainsi potentiels dans ce domaine, en mettant l’accent sur les nano-matériaux (comme les nanotubes de carbone, graphène, graphynes, etc.), métamatériaux (y compris les cristaux photoniques et l’invisibilité « cloaking ») et isolants topologiques.
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Comité scientifique
Jean Bellissard (Georgia Institute of Technology) Comité d’organisationPavel Exner (Czech Academy of Sciences) Peter Kuchment (Texas A&M University) Valentin A. Zagrebnov (Aix-Marseille Université) Conférenciers
Heat flow with thermal metamaterials
Effective medium theory to mimic the fields scattered by metallic particles with insulators
Uniqueness for an inverse problem in electromagnetism with partial data
Heat kernel estimates on arbitrary Riemannian manifolds
From the 2nd Law of Thermodynamics to AC-Conductivity Measures of
Asymptotic behaviour of the spectra of systems of Maxwell equations in periodic composite media with high contrast
Topological nature of the Fu-Kane-Mele invariants
Metamaterials, transformation optics for waves engineering
Overdamping in gyroscopic systems composed of high-loss and lossless components
Discrete diffraction managed solitons: Threshold phenomena and rapid decay for general nonlinearities
Mechanical Metamaterials
Twisted equivariant K-theory and topological phases
Rigorous Analogies Between Quantum Systems and Certain Wave Equations
Spectrum of the Neumann-Poincaré operator and plasmon resonance
Topological and invisible photonic crystals
Electronic quantum optics with quantum Hall edge channels and topological insulators
Gysin maps and bulk-edge correspondence
Material-dictated upper bounds for scattering response in linear systems
Stability of Frustration-Free Ground States of Quantum Spin Systems
Scattering matrix and Dirichlet-to-Neumann maps
Applications and stabilities of negative index materials
A discrete surface theory on 3-valent graphs embedded in 3-dimensional Euclidean space
Emergent anyons in quantum Hall physics
Spectrally embedded bound states for quantum graphs
Analyticity of the Dirichlet-to-Neumann Map for Maxwell’s Equations in
Negative refraction in a laminate |