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Explore the intricacies of the Yoneda lemma in this 29-minute conference talk from YOW! 2019. Delve into category theory as software engineer and mathematics professor Attila Egri-Nagy bridges the gap between the intuitive concept "tell me your friends, and I will know who you are" and its precise mathematical formulation. Learn about algebraic results like Cayley's theorem for groups and its generalization to semigroups, which demonstrate the conceptual step of representability and the idea of studying different things in a familiar form. Gain insights into the connections between category theory, functional programming, and software engineering. Perfect for those interested in advanced mathematical concepts and their applications in computer science.
