Closed vs. open Toda chains from Q-systems

Rinat Kedem
University of Illinois at Urbana-Champaign

We construct the cluster algebra quiver associated with closed Toda chains, associated with the root data for the affine algebra. The closed chains exhibit fundamentally different properties, in particular, non-stationary states. We'll discuss what is known and what is conjectured for the special functions associated with these systems.

Presentation (PDF File)

Back to Workshop IV: Vertex Models: Algebraic and Probabilistic Aspects of Universality