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Explore finite dimensional approximations of groups in this 52-minute lecture by Christopher Schafhauser from the University of Nebraska-Lincoln. Delivered on October 26, 2023, as part of the Operator Algebra Seminar at the Fields Institute, this talk delves into advanced mathematical concepts within the framework of the Thematic Program on Operator Algebras and Applications. Gain insights into the intricate relationships between group theory and operator algebras, and discover how finite dimensional approximations can be applied to study complex group structures.