abstract: We explain how the study of almost critical points of surface energies arise in the study of the equilibrium and evolution of soap films, soap bubbles, and crystal grains. We introduce some theorems that describe (qualitatively and, sometimes, quantitatively) the possible bubbling configurations, and that provide useful criteria to exclude bubbling. This talk is based on several papers written in the past few years in collaboration with G. Ciraolo (U Palermo), M. Delgadino (Imperial College London), D. King (UT Austin), C. Mihaila (U Chicago), R. Neumayer (Nothwestern U), A. Scardicchio (ICTP Trieste), and S. Stuvard (UT Austin).