Explore the intricate world of non-semisimple Topological Quantum Field Theories (TQFTs) in this advanced lecture from the M-Seminar at Kansas State University. Delve into the complex intersection of physics, topology, and algebra as Niclas Garner from the University of Washington presents the second part of his talk on TQFTs arising from supersymmetric twists of three-dimensional field theories. Examine the limitations of familiar semisimple TQFTs and discover how non-semisimple examples introduce unavoidable homological aspects. Investigate the connections between these advanced TQFTs, quantum groups, and vertex operator algebras. Gain insights into cutting-edge research that pushes beyond simple examples like Chern-Simons theory with compact gauge group at positive integer level.