Explore the intricate connections between topological field theories (TFTs) with defects and representation theory in this insightful 51-minute lecture. Delve into the mathematical foundations and advanced concepts as presented by Christoph Schweigert. Gain a deeper understanding of how defects in TFTs relate to various aspects of representation theory, and discover the implications for quantum topology research. Examine the interplay between these complex mathematical structures and their applications in theoretical physics.