Lisa Traynor and I recently introduced new invariants --called generating family spectra -- of Legendrians equipped with generating families. These invariants are stable homotopy lifts of classical invariants, and are conjectured to model stable homotopy lifts of morphisms in infinitesimally wrapped Fukaya categories. In the simplest cases, these invariants can distinguish what Thom called "excellent Morse functions." As an application, we prove that one can detect infinitely many new connected components in the space of excellent Morse functions on Euclidean spaces. In this talk, I will introduce these topics and give a rough explanation of the proof.