Emily Riehl is a mathematician and category theorist, her talk at Lambda World investigates computational effects using category theory. She begins by establishing a mathematical point of view and then outlines what a category is. Generally, we may think of a category as something which certain things may be grouped in because of their similar properties and a category may be separated from another category because of their differences. Emily defines a category as a two-sorted structure that encodes the algebra of composition. In the latter half of her talk, Emily discusses monads vs. Lawvere theories.
This talk was given by Emily Riehl at Lambda World.