25th NRW Topology Meeting

Speaker: Jeremiah Heller

Title: An equivariant motivic slice filtration

Abstract:

We introduce a slice filtration on the C₂-equivariant stable motivic homotopy category, obtained by mixing Voevodsky's filtration in motivic homotopy and Dugger's filtration in C₂-equivariant homotopy theory. In this talk we'll discuss some aspects of this filtration and focus on a computation of the zero slice of the equivariant motivic sphere spectrum. This is a report on joint work with P. A. Ostvaer.