Explore the fascinating world of cavity quantum electrodynamics (QED) and its application to controlling quantum materials in this 55-minute lecture by Yuto Ashida from the International Centre for Theoretical Sciences. Delve into the intersection of quantum optics and condensed matter physics, examining how light-matter interactions in optical cavities can be harnessed to manipulate and engineer quantum states of matter. Learn about cutting-edge research in this field, including topics such as cavity-mediated superconductivity, exciton-polariton condensates, and topological phases induced by cavity fields. Gain insights into the theoretical frameworks and experimental techniques used to study these systems, and discover potential applications in quantum technologies and materials science.