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Brian Fitzpatrick : A Gentle Introduction to Categories and Categorification

Category theory is a language used to describe mathematical structures. Its focus is on the relationship between mathematical objects rather than the objects themselves. Categorification is then an attempt to find category-theoretic analogues of classical set-theoretic results. This talk will present the basic notions needed to develop a theory of categorification and will show how many familiar mathematical results are, in fact, "shadows" of a hidden categorical structure.

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