Explore a thought-provoking lecture by George Elliott from the University of Toronto, delivered as part of the Workshop on Operator Algebras and Applications: Symmetry and Structure at the Fields Institute. Delve into the intricacies of breaking the classification barrier in operator algebras, gaining insights from this 47-minute presentation that contributes to the broader Thematic Program on Operator Algebras and Applications. Access the abstract for a deeper understanding of the topic and discover how this talk fits into the larger context of operator algebra research and applications.