Explore fully chaotic models for higher genus surface homeomorphisms in this 30-minute conference talk from the 8th Brazilian School of Dynamical Systems. Delve into advanced concepts in dynamical systems theory as presented by Alejo García from IME-USP, focusing on the mathematical properties and behaviors of chaotic systems on complex topological surfaces. Learn about the theoretical foundations and applications of these models within the broader context of dynamical systems, ergodic theory, and related mathematical disciplines. Gain insights into cutting-edge research in this specialized area of mathematics, presented as part of Brazil's premier academic event that brings together postgraduate students and researchers in dynamical systems, ergodic theory, geometry, probability, number theory, and topology.