Explore the intricacies of Quantum Chern-Simons Theory in both real and complex forms through this comprehensive lecture by Jorgen Andersen from SDU. Delve into a detailed review of the construction of WRT invariants, examining specific examples to deepen understanding. Discover the Resurgence conjecture for these invariants and its implications. Learn about the Teichmüller TQFT, co-constructed with Rinat Kashaev, and its new formulation. Engage with various conjectures surrounding these Topological Quantum Field Theories (TQFT) and analyze explicit examples to solidify comprehension. This 1-hour and 14-minute talk, presented at the Institut des Hautes Etudes Scientifiques (IHES), offers a rich exploration of advanced concepts in quantum topology and field theory.