Higher homotopy structures-then and now (teleconference talk)

Looking back over 55 years of higher homotopy structures, I will
reminisce as I recall the early days and ponder how I now see them.
From the history of $A_\infty$-structures and later of $L_\infty$-structures, I
will sketch how they morphed into the topic of this Program on
Higher Structures in Geometry and Physics.