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Explore structure theorems in Boolean Function Analysis through this lecture focusing on classical and modern examples. Delve into the FKN theorem, Friedgut's junta theorem, and sharp threshold theorems, with particular emphasis on the biased hypercube and the symmetric group. Gain insights into the fundamental principles of Boolean Harmonic Analysis and their applications in this 1-hour 12-minute presentation by Yuval Filmus at the Hausdorff Center for Mathematics.