Explore the fascinating world of non-semisimple Topological Quantum Field Theories (TQFTs) in this hour-long 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 discusses TQFTs arising from supersymmetric twists of three-dimensional field theories. Examine how these non-semisimple TQFTs differ from familiar examples like Chern-Simons theory, and discover their connections to quantum groups and vertex operator algebras. Gain insights into the homological aspects that cannot be avoided in these more complex TQFT scenarios, expanding your understanding of this multidisciplinary field.