Explore the intricacies of many-body quantum chaos, spectral form factor, and the Ginibre ensemble in this 47-minute lecture by Amos Chan from the International Centre for Theoretical Sciences. Delve into advanced topics in quantum physics as part of the program on Periodically and Quasi-Periodically Driven Complex Systems. Gain insights into closed quantum systems with time-dependent Hamiltonians, open quantum systems, and gauge theory of coupling between matter and radiation. Discover the interplay between theory and experiment in fields such as terahertz and infrared driven quantum matter, shaken optical lattices and cold atoms, Floquet time crystals, localization-delocalization physics in quasi-periodically driven systems, and dynamics of gauge theories. Enhance your understanding of quantum simulation experiments and their interpretation in scenarios where brute force numerical calculations fail.