| We introduce polystable divisors on a tropical curve, which are the tropical analogue of polystable torsion-free rank-1 sheaves on a nodal curve. We show how to construct a universal tropical Jacobian by means of polystable divisors on tropical curves. This space can be seen as a tropical counterpart of Caporaso universal Picard scheme. This is a joint work with Abreu, Andria, and Taboada. |