Explore a mathematical lecture from the Topos Institute Colloquium that introduces the difference operator as a tool for analyzing endofunctors of Set, drawing parallels to the classical difference operator in real-valued functions. Learn how this discrete form of derivative, defined as â–³[F](X) = F(X + 1) \ F(X), behaves functorially for taut functors, including polynomial functors. Discover combinatorial versions of classical identities through numerous examples, with only basic category theory knowledge required for understanding the concepts presented.
The Functorial Difference Operator in Category Theory
Overview
Syllabus
Robert Paré: "The functorial difference operator"
Taught by
Topos Institute
Related Courses
-
Polynomial Functors: From Elementary Arithmetic to Infinity-Operads
-
Polynomial Interfaces - Applied Category Theory and User Interface Design
-
Polynomial Functors - Lecture 2
-
Two Takeaways from Active Inference and Category Theory Workshop
-
Polynomial Functors: Composition Product and Duoidality - Lecture 5
-
Introduction to Polynomial Functors - Lecture 1
