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This course is an introduction to the theory of algebraic curves and surfaces.An important aim of the course is to develop geometric intuition while using the language of schemes developed in the ba
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These notes cover the lectures of the first named author at 2021 IHES Summer School on "Enumerative Geometry, Physics and Representation Theory" with additional details and references. They cover the definition of Khovanov-Rozansky triply graded homology, ...
