Talk
Comments on cluster integrable systems
- Valdo Tatitscheff (Universität Heidelberg)
Abstract
I will discuss a class of integrable systems introduced by Goncharov and Kenyon (1107.5588 [math.AG]), whose phase spaces are cluster varieties. These systems share many features with the moduli spaces of framed local systems that are central to Fock–Goncharov theory of higher-rank Teichmüller spaces. For instance, they admit coordinate systems derived from configurations of flags, although infinite ones. Cluster integrable systems appear to be the cluster varieties underlying the generalization of spectral networks, known as exponential networks, introduced in the context of mirror symmetry.