Speaker: Professor Daniel Isaksen, Wayne State University Mathematics Department

Title: v1-periodic R-motivic homotopy

Abstract: Bachmann and Hopkins constructed a motivic version of the connective j spectrum.  The homotopy groups of this spectrum are the v1-periodic motivic homotopy groups.  We completely compute the homotopy of j when the base field is R.  The key tool is the effective slice spectral sequence, which is the motivic analogue of the classical Adams-Novikov spectral sequence.