Explore complex dynamics in the tropics through a 43-minute conference talk by A. de Carvalho, focusing on structures on 2- and 3-manifolds derived from dynamical systems. Delve into topics including general constructions, multimodal maps, nonatomic measures, hyperbolic groups, and fluid dynamics. Gain insights from this presentation, part of an international congress at IMPA celebrating Carsten Lunde Petersen's 60th birthday, featuring prominent researchers discussing the state of the art in the field. Learn about parallel theory and its applications in this comprehensive mathematical exploration.