Ideal webs, moduli spaces of SL_m local systems on surfaces and 3d CY categories.

Alexander Goncharov (Yale)

Abstract :

There is a collection of bipartite graphs on a surface with special points on the boundaries providing a class of cluster coordinate systems connected by mutations inside of that class.

It gives rise to a family of quivers with potentials, related by mutations, and thus to a 3d Calabi-Yau A-infinity category.