Abstract: The non-abelianization procedure for spectral networks provides a generalization of Fock-Goncharov coordinates on the moduli space of flat rank K connections on a Riemann surface C. Exponential Networks, introduced as a generalization of spectral networks in the context of mirror symmetry, admit an associated non-abelianization procedure. In this talk I will explain how the non-abelianization procedure for exponential networks generalizes the Fock-Marshakov construction of cluster charts for affine double Bruhat cells.