|Date: Friday, January 27, 2012
Location: 3866 East Hall (4:10 PM to 5:00 PM)
Title: Universal geometric cluster algebras
Abstract: For each skew-symmetrizable integer matrix B, there are infinitely many cluster algebras of geometric type, differing by a choice of coefficients. These are related by maps called coefficient specializations. In this talk, I'll discuss the general problem of finding a cluster algebra of geometric type that is universal, in the sense of coefficient specializations, among geometric cluster algebras for B. If B is of finite type, then the problem was solved by Fomin and Zelevinsky. I'll show how the Fomin-Zelevinsky result can be rephrased in a form that admits generalization beyond finite type. The generalization revolves around a fan called the mutation fan for B.
Speaker: Nathan Reading