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This lecture explores the existence and relevance of magnetoelectric multipoles, discussing how they underlie multiferroic behavior, determine the magnetic response to applied electric fields, and cause magnetization at the surface of a sample. The talk delves into the challenges of characterizing hidden magnetoelectric multipolar order and the possibilities for its direct measurement using density functional calculations. The instructor, Prof. Nicola Spaldin, is known for her work on multiferroics and her passion for science education.