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Explore the intersection of string theory and topology in this 1-hour 7-minute lecture by Harvard's Du Pei at the University of Miami. Delve into the problem of counting BPS states in string theory and discover how it leads to new invariants of 3-manifolds and novel three-dimensional topological quantum field theories (3d TQFTs). Gain insights into recent advancements in this field and understand the relationships between these new TQFTs and more familiar theories like Chern-Simons. Enhance your knowledge of theoretical physics and mathematics as you uncover the connections between BPS states and 3d TQFTs in this thought-provoking presentation.