Galaxy clusters are fantastic laboratories for understanding black hole feedback processes. These massive cosmic structures provide a unique environment to study how AGN-driven jets transfer energy to the surrounding medium, generating shock fronts, sound waves, and turbulence. This feedback not only regulates cluster cores but also drives molecular outflows and redistributes metals within and beyond galaxies, illustrating how black holes act as the beating heart of galaxies and shape the cosmos over time. In this talk, I will review the current state of the field, focusing on how these powerful AGN-driven jets influence the properties of galaxy clusters across cosmic time. I will also present the first observations of the Perseus cluster made with the XRISM X-ray space telescope, highlighting XRISM’s unprecedented capabilities in probing cluster dynamics. Lastly, I will share results from the TNG-Cluster suite of Illustris cosmological simulations, providing new insights into the mechanisms of AGN feedback in these environments.
