New infinite families in the stable homotopy groups of spheres

In this talk, I will demonstrate how the spectrum of topological modular forms and its Hurewicz image can be used to identify eight new 192-periodic infinite families in the stable stems which are not in the Hurewicz image of tmf. These families live in chromatic layer 2 as their images are nonzero in the height 2 telescopic localization of the stable stems.