16:00, January 17, Kennedy Seminar Room 2
Abstract: “A Coxeter-Conway frieze is a planar array of integers, bounded above and below by rows of ones, such that every neighbouring set of 4 entries satisfies an SL_2 determinant condition. We discuss elementary results about friezes including a bijection between them and triangulations of n-gons.
Cluster algebras are algebras whose (possible infinite) set of generators is constructed algorithmically, starting from an initial set of cluster variables and a quiver, whose combinatorics give the relations between the newly constructed variables. We discuss how one may obtain dynamical systems from cluster algebras and how friezes are obtained from a special set of cluster algebras.”