Explore the concept of prethermalization in aperiodically driven spin systems in this 40-minute conference talk by Sayan Chowdhury from the International Centre for Theoretical Sciences. Delve into the stability of quantum matter in and out of equilibrium at various scales, examining mechanisms that constrain many-body dynamics in Hilbert space. Gain insights into non-equilibrium physics, including topics such as Many-body localization, Floquet MBL, Dynamical Freezing, and Hilbert Space Fragmentation. Learn about the interdisciplinary approach combining Condensed Matter Physics, Statistical Mechanics, Quantum Field Theory, and Mathematics to understand many-body stability problems. Discover potential applications in quantum device operation and control, relevant for researchers working on quantum technologies.