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AGN feedback is regarded as an important non-gravitational process in galaxyclusters, providing useful constraints on large-scale structure formation. Itmodifies the structure and energetics of the intra-cluster medium (ICM) andhence its understanding is crucially needed in order to use clusters as highprecision cosmological probes. In this context, particularly keeping in mindthe upcoming high quality radio data expected from radio surveys like SKA withits higher sensitivity, high spatial and spectral resolutions, we review ourcurrent understanding of AGN feedback, its cosmological implications and theimpact that SKA can have in revolutionizing our understanding of AGN feedbackin large-scale structures. Recent developments regarding the AGN outbursts andits possible contribution to excess entropy in the hot atmospheres of groupsand clusters, its correlation with the feedback energy in ICM, quenching ofcooling flows and the possible connection between cool core clusters and radiomini-halos, are discussed. We describe current major issues regarding modelingof AGN feedback and its impact on the surrounding medium. With regard to thefuture of AGN feedback studies, we examine the possible breakthroughs that canbe expected from SKA observations. In the context of cluster cosmology, forexample, we point out the importance of SKA observations for cluster masscalibration by noting that most of $z>1$ clusters discovered by eROSITA X-raymission can be expected to be followed up through a 1000 hour SKA-1 midprogramme. Moreover, approximately $1000$ radio mini halos and $\sim 2500$radio halos at $z<0.6$ can be potentially detected by SKA1 and SKA2 and used astracers of galaxy clusters and determination of cluster selection function.

AGN feedback with the Square Kilometer Array (SKA) and implications for cluster physics and cosmology