The University of Michigan Combinatorics Seminar


Abstract 

In the theory of lattice integrable models, one encounters a certain class of integrable discrete equations called Qsystems and Tsystems. They describe the characters and qcharacters of special quantum affine algebra modules. I will explain the relation of these equations to the positivity problem in cluster algebras and present a path model formulation for the solution in the case where the algebra is of type A. This is joint work with Philippe Di Francesco. 