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Lawvere theories and finitary monads

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If you have a question about this talk, please contact Nathanael Arkor.

Lawvere theories (also known as algebraic theories) are a categorical presentation-free formulation of algebraic structure (such as that of monoids, groups, rings, etc.). I will introduce and provide intuition for the definition of a Lawvere theory and its models, and discuss a result of Linton establishing a correspondence between Lawvere theories (and their models in Set) and finitary monads on Set (and their algebras).

This talk is part of the Logic & Semantics for Dummies series.

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