Explore group representations on 2D Topological Quantum Field Theories (TQFTs) in this illuminating lecture delivered by Constantin Teleman from UC Berkeley at the Dublin Institute for Advanced Studies. Delve into the intricate connections between group theory and quantum field theory, examining how group representations manifest in two-dimensional TQFTs. Gain insights into the mathematical structures underlying these theories and their applications in modern physics. Over the course of 73 minutes, uncover the fundamental principles and advanced concepts that shape our understanding of group representations in the context of 2D TQFTs.