Explore the intricacies of prethermal discrete time crystalline order through continuous monitoring in this 45-minute lecture by Marin Bukov. Delivered as part of the "Periodically and Quasi-Periodically Driven Complex Systems" program at the International Centre for Theoretical Sciences, this talk delves into the fascinating world of quantum systems with time-dependent Hamiltonians. Gain insights into topics such as Floquet time crystals, localization-delocalization physics in quasi-periodically driven systems, and the dynamics of gauge theories. Learn how this research contributes to the understanding of terahertz and infrared driven quantum matter, shaken optical lattices, and cold atoms. Discover the valuable interplay between theory and experiment in this cutting-edge field of physics.