The 10th American Institute of Mathematics (AIMS) Conference on Differential Equations, Dynamical Systems and Applications took place in Madrid between July 7 and July 11. This event, which attracted many researchers from all over the world, was held on the Cantoblanco Campus of Universidad Autónoma de Madrid (UAM) and was co-organized by the Instituto de Ciencias Matemáticas (ICMAT), together with other institutions. Ágata A. Timón (ICMAT) provides an account of the meeting's many activities.