# Mircea Voineagu (University of New South Wales)

## Topological comparisons for Bredon motivic cohomology

In this talk we will review the main ideas behind the Suslin-Voevodsky construction of motivic cohomology and we will apply them to an equivariant motivic construction which we call Bredon motivic cohomology. To justify this name we show that Bredon motivic cohomology of a $$\mathbb{Z}/2$$-equivariant complex algebraic variety coincides in many indexes with the usual Bredon cohomology applied to the $$\mathbb{Z}/2$$-manifold of complex points of $$X$$. This is a joint work with J.Heller and P.A.Ostvaer.