This lecture by Filippo Viviani from Roma 2, Italy, focuses on the classification of (universal) compactified Jacobians as part of the "Combinatorial Synergies in Geometry and Number Theory" workshop organized by the Instituto de Matemática Pura e Aplicada. Explore how combinatorial methods intersect with algebraic geometry and number theory in this 46-minute presentation that contributes to the broader workshop aim of enhancing combinatorial approaches to geometric and arithmetic structures. The workshop features mini-courses and presentations by international mathematicians specializing in areas such as Combinatorial Geometry, Hodge Theory, Berkovich Spaces, and Tropical Geometry, bringing together both early-career mathematicians and established specialists to foster collaboration and innovation in these mathematical fields.