The Itzykson Conference is held every year at the Institut de Physique Théorique in Saclay to honour the memory of Claude Itzykson. The 21st edition of this conference will take place on June 13-15 and will be devoted to the themes of dynamics, disorder and localization in strongly interacting quantum many body systems. \par Quenched random disorder can have dramatic effects on transport and dynamical properties of non-interacting quantum systems and can lead to localized insulating phases of matter, as first proposed by Anderson. Recent theoretical investigations suggested that localization effects can survive at finite interaction and finite temperature in closed isolated quantum systems, a surprising result with very interesting consequences for our basic understanding of quantum statistical mechanics. While the interplay of interaction and disorder on the equilibrium low temperature physics of quantum systems has been longly studied, these recent developments triggered a new wave of interst onto this venerable problem and cast it into a completely new light, where dynamics and out of equilibrium phenomena play a key role. \par The aim of this conference is to bring together the broad community of physicists working on various facets of this challenging problem. The program will feature thematic sessions covering the recent developments in the mathematical physics, as well as in the statistical, condensed matter and ultracold atom physics communities. The goal is to generate a steady flow of ideas from different communities and a set of common concepts and approaches to attack this challenging and multifacet problem. \\ \\ ``https://indico.in2p3.fr/event/13017/overview'' \\ Organizing committee: Giulio Biroli, Eugene Bogomolny, Cecile Monthus, Marco Schiro. \\ Sponsors and benefactors: IPhT (CEA and CNRS), DRF, LabEx LMH, LabEx PALM.