https://rochester.zoom.us/j/6775967436

The stable homotopy groups of spheres are a well-studied, but poorly understood object. Often, they are considered in some highly structured sense. In this talk I will take the opposite tack, asking the titular question. From this viewpoint, spectral sequences become upper bounds and constructions, such as the “generalized greek letter elements”, provide simple lower bounds. I will discuss what is known, what is expected and (time permitting) what bearing the fate of the telescope conjecture has on these questions.