Introduction to Affine Cluster Algebras

Learn about affine cluster algebras in this mathematics lecture from the Amplituhedra, Cluster Algebras, and Positive Geometry Conference, where University of Copenhagen's Dani Kaufman provides a foundational introduction to non-finite type cluster algebras. Explore how these infinite-cluster systems differ from finite cluster algebras while maintaining mutation finite properties. Discover the unique mutation sequence that generates infinite clusters and examine how finite-type cluster algebra structures manifest in the limiting case. Delve into the relationship between infinite cluster variables and algebraic letters in the symbol alphabet for 8-particle N=4 SYM amplitudes, bridging pure mathematics with theoretical physics applications.