Student Combinatorics Seminar Seminar

Given a "cluster" (x_1, ..., x_n) of n elements of a field F and a mutation rule for exchanging one element to form a new cluster, one can perform an arbitrarily long sequence of mutations.*
When is the set of variables which appear finite? When is the algebra they generate finitely generated? I'll give an example-based introduction to cluster algebras and upper cluster algebras.

*some restrictions apply Speaker(s): Gracie Ingermanson (University of Michigan)