Description:This course presents a comprehensive exploration of mathematical theories on metamaterials within wave systems including acoustics, electromagnetics, and elasticity. The analytical methodologies encompass both the potential theory and the variational approach. Subsequently, the course delves into the practical applications including cloaking invisibility and imaging. Regarding invis...
PrerequisiteRepresentation theory of symmetric group, Lie groups and Lie algebrasIntroductionIn this course we will review classical invariant theory, discuss Howe duality for classical Lie groups and its extension to Lie superalgebras.We will use the dualities for classical pairs of Lie groups to pose asymptotic questions. We will study representations of these dual pairs in the limit when ran...
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