The QCD critical point hunt: emergent new ideas and new dynamics

The QCD critical point is a landmark point on the QCD phase diagram, with potential connections to a plethora of deep questions on the properties of thermal nuclear matter. Future heavy-ion collision experiments, in particular, the second phase of beam energy scan (BES-II), will explore the QCD phase diagram with an unprecedented precision and would potentially discover the QCD critical point. In this short review, I discuss and summarize recent new ideas, such as `rapidity scan', and new theoretical developments, in particular in the qualitative characterization and quantitative descriptions of the critical fluctuations in the expanding fireball. Those new ideas and developments together would enhance the prospect of locating the QCD critical point.