Topology Seminar: Relations amongst motivic Hopf maps

I will talk about work with Dan Isaksen on the motivic homotopy groups of spheres, focusing on the story of the Hopf maps. In classical algebraic topology the Hopf maps generate a very small and easily computed subring of the stable homotopy ring.

The motivic Hopf maps generate a larger ring, and we don't yet know explicity what it is. In the talk I'll describe some of what we do know.