This e-book offers 4 survey articles on assorted themes in mathematical research which are heavily associated with innovations and functions in physics. particularly, it discusses worldwide facets of elliptic PDEs, Berezin-Toeplitz quantization, the steadiness of solitary waves, and sub-Riemannian geometry. The contributions are according to lectures given via unusual specialists at a summer season tuition in Göttingen. The authors clarify primary recommendations and ideas and current them in actual fact. ranging from uncomplicated notions, those direction notes take the reader to the purpose of present examine, highlighting new demanding situations and addressing unsolved difficulties on the interface among arithmetic and physics. All contributions are of curiosity to researchers within the respective fields, yet also they are obtainable to graduate students.
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