Speaker
Eva Belmont
Abstract
I will give an introduction to motivic homotopy theory from a computational homotopy theory perspective. I will touch on both the original perspective as the homotopy theory of schemes, and newer work on synthetic homotopy theory that presents the C-motivic stable homotopy category as a deformation of the classical stable homotopy category. I will discuss some basic computational properties of these constructions which show the Nishida nilpotence theorem does not hold in this context.