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Explore the intricacies of effective homogeneous dynamics in this comprehensive lecture by Manfred Einsiedler, delivered as part of the Hausdorff Trimester Program "Dynamics: Topology and Numbers" Winter School. Delve into key concepts such as transformation identification, diagonal matrices, horizontal and pelvic transformations, orbits, and Big Star Topology. Gain insights into normalization techniques and effective statements within the field. This in-depth presentation offers a thorough examination of the subject matter over the course of 64 minutes, providing valuable knowledge for those interested in advanced mathematical dynamics.