Explore the intricacies of sublattice scars and triangle relations in an Abelian lattice gauge theory in this 40-minute lecture by Arnab Sen from the International Centre for Theoretical Sciences. Delve into the complex world of many-body quantum systems and their coherent time evolution, examining the stability of these systems under external drives. Investigate mechanisms that constrain many-body dynamics in Hilbert space, including Many-body localization (MBL), Floquet MBL, Dynamical Freezing, and Hilbert Space Fragmentation. Gain insights into how these mechanisms potentially underpin novel phases of quantum matter in and out of equilibrium. Learn about the interdisciplinary nature of this research, drawing from Condensed Matter Physics, Statistical Mechanics, Quantum Field Theory, and advanced Mathematics. Understand the practical applications of this knowledge in developing stable modes of operation for quantum devices and enhancing our ability to control quantum systems.