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Explore advanced mathematical concepts in this 2-hour lecture from the Poly at Work workshop series on polynomial functors, presented by David Spivak at the Topos Institute. Delve into the properties of ◁-monoids, beginning with an examination of Lott as a ◁-monoid, followed by an analysis of how the product of two ◁-monoids maintains the ◁-monoid structure. Progress through additional ◁-monoid properties before investigating the free ◁-monoid concept. Conclude with an exploration of maps into ◁ products and the nature of ◁-comonoids, building a comprehensive understanding of these mathematical structures and their relationships.
