The XIIIth Brazilian School of Cosmology and Gravitation covered a series of fundamental topics in our current understanding of Cosmology, Astrophysics, and Gravity. The purpose of the School is to give a view of the state of the art of these areas for students and post-docs, and also for the more experienced practitioners. Lectures were delivered by very well-known researchers in topics that covered several areas of theoretical and observational Cosmology, Astrophysics, and Gravitation, ranging from Quantum Gravity to Active Galactic Nuclei.