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Explore a 24-minute lecture on parametrizations and complexity of preparation, presented by Siegfried Van Hille at the Fields Institute. Delve into the Thematic Program on Tame Geometry, Transseries and Applications to Analysis and Geometry as the speaker covers key topics including the Wilkins conjecture, induction method, and recent results. Gain insights into the proof and sketch of related concepts, followed by a question-and-answer session. Conclude with a comprehensive summary of the lecture's main points and their implications in the field of tame geometry.