Since the time of Bernhard Riemann, the influence of analytical and algebraic methods based on Riemann surfaces, algebraic curves and abelian varieties, has been crucial in the development of other areas in physics and mathematics, as well as applications to other areas. These topics have been a very effective tool in solving problems in commutative algebra, mathematical-physics, algebraic geometry, differential geometry, complex and hyperbolic geometry, dynamical systems, singularity theory, topology and other interdisciplinary branches of mathematics that are constantly evolving. The Iberoamerican Geometry Congresses (IGC) have the particularity of gathering researchers and students from various mathematical communities of America and other regions of the world, with the aim of fostering an exchange of ideas between mathematicians in different fields, linked by the geometry of Riemann surfaces, abelian varieties and related fields.