STABLE 3
Refer to the description for Stable 1 to get the baseline information about this piece. There is a lot going on here but at minimum the work hints at the Landweber Exact Functor Theorem (LEFT) , Quillen's Theorem, formal group laws, chromatic homotopy theory, all of which are related to or are aspects of stable homotopy. For LEFT to produce a homology theory the sequence next to Bugs need to be regular for all p. This is hinted at by bugs facing left and pressing regular on the gas pump. The BP logo stands for British Petroleum but in this context, it also represents the Brown Peterson Spectrum. illustrated on the right is chromatic tower.
The suspension bridge points to several ideas firstly some of the math displayed points to a bridge between spectra and formal groups, and secondly the fundamental importance of the suspension to spectra.