The interplay between different ordering tendencies is a central theme in the physics of strongly correlated quantum materials. Following up on a KITP program devoted to this topic in summer of 2017, this virtual conference will review some of the exciting theoretical and experimental developments since then. Some of the topics to be discussed are: theory of intertwined order; superconductors with multi-component order parameters; correlated phases in Moire materials; and recent developments in high temperature superconductivity.