Dani Kaufman | Affine Cluster Algebras 

Amplituhedra, Cluster Algebras, and Positive Geometry Conference
May 30, 2024
Speaker: Dani Kaufman, University of Copenhagen
Title: Affine Cluster Algebras
Abstract: Affine cluster algebras form the simplest examples of non-finite type cluster algebras. While they have infinitely many clusters, they are still mutation finite and have essentially one mutation sequence which produces infinitely many clusters. I will give an introduction to these cluster algebras by comparing them with finite cluster algebras. I will also show how some structures similar to finite type cluster algebras appear “in the limit” along this infinite mutation sequence. If time I will also mention how the “infinite cluster variables” which live in the limit are related to the algebraic letters appearing in the symbol alphabet for 8 particle N=4 SYM amplitudes.