Cluster algebras constitute a robust framework at the interface of algebra, combinatorics and geometry. Since their introduction, they have provided fertile ground for understanding total positivity, ...

Algebraic representation theory and cluster categories constitute a vibrant research area that bridges abstract algebra, category theory and combinatorics. In this field, algebraic structures are ...

“We followed a new mathematical path, the cluster algebras”, says Johannes Henn, director at the Max Planck Institute for Physics. Cluster algebras were discovered in the early 2000s. They consist of ...