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Explore the intricate world of Hénon maps and strange attractors in this comprehensive lecture by Jan Boroński from Jagiellonian University, Cracow. Delve into recent research on topological dynamics of Hénon maps within the Wang-Young parameter set, a generalization of the Benedicks-Carleson set. Discover the development of kneading theory and classification of Hénon maps on their strange attractors. Investigate the existence of wandering domains and gain insights into the pruning front conjecture. This 1 hour and 49 minute talk, part of the Simons Semester on Dynamics, offers a deep dive into complex dynamical systems and their fascinating properties.