Formulas, especially in the work of Zwiebach on CSFT (Closed String Field Theory), eventually led to recognition of L∞-algebras in physics, gradually becoming a part of the ‘standard tool kit’ in gauge field theory. In the past few years, there has been a flurry/blizzard of papers, especially those of Hohm and Zwiebach and of Jurčo, Raspollini, Sämann and Wolf. The major and provocative advance is the introduction of an L∞ -algebra with special graded pieces corresponding to gauge parameters, fields, equations of motion and more. This talk is a report on work in progress which will try to organize the storm and reach the current frontier. We find that various authors speak various dialects of the L∞language and hope to provide a unifying point of view.