Quantum Chern-Simons Theory: Real and Complex Formulations - Lecture 1

Explore the intricacies of Quantum Chern-Simons Theory in this comprehensive lecture by Jorgen Andersen at the Institut des Hautes Etudes Scientifiques (IHES). 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 construction of the Teichmüller TQFT, developed in collaboration with Rinat Kashaev, and gain insights into its new formulation. Examine various conjectures surrounding these Topological Quantum Field Theories (TQFT) and engage in discussions of explicit examples. This 68-minute lecture offers a thorough exploration of both real and complex aspects of Quantum Chern-Simons Theory, providing valuable knowledge for researchers and advanced students in the field of mathematical physics.