Galaxy clusters are fantastic laboratories for understanding black hole feedback processes. These massive cosmic structures provide a unique environment to study how black holes transfer energy to the surrounding medium, generating powerful radio jets, shock fronts 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 black hole-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 new TNG-Cluster suite of Illustris cosmological simulations, providing new insights into the mechanisms of black hole feedback in these environments.
TSI Seminars take place weekly during the Fall and Winter terms. TSI seminars are intended to be accessible to scientists from the entire breadth of backgrounds at TSI, including, Physics, Planetary Science, Geology, Atmospheric Science, and Astrobiology. Our seminar series is partially funded by the Centre de recherche en astrophysique du Québec (CRAQ).