Categorifications from planar diagrammatics
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diagrammaticauthorbiadjointnessbimodulescategorificationcategorificationscategorydescription
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A diagrammatic presentation of functors and natural transformations and the virtues of biadjointness are discussed. We then review a graphical description of the category of Soergel bimodules and a diagrammatic categorification of positive halves of quantum groups. These notes are a write-up of Takagi lectures given by the author in Hokkaido University in June 2009.
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