The elliptic cluster structure conjecture for q-isomonodromic systems

Let $q$-isomonodromic systems have monodromy manifolds, and let elliptic dilogarithms be the generating functions associated with the proposed transformations. Elliptic cluster structure conjecture. There should exist an elliptic generalization of cluster mutations whose generating functions are elliptic dilogarithms; the resulting algebra of functions is an elliptic cluster algebra, the monodromy manifolds of $q$-isomonodromic systems should carry elliptic cluster structures, and their automorphisms should be described by elliptic mutations. The paper presents this as a proposed extension of ordinary cluster structures, with no resolution supplied.