Explore solvable entanglement dynamics in quantum circuits with generalized dual unitarity in this 40-minute lecture by Wen Wei Ho 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 novel phases of quantum matter, drawing from condensed matter physics, statistical mechanics, quantum field theory, and mathematics. Understand the implications for developing stable quantum devices and enhancing control over quantum systems. Part of a comprehensive program aimed at senior PhD students, postdocs, and faculty members working in quantum technologies and related fields.