### Equivariant and Real Motivic Stable Homotopy Theory, by Po Hu, Igor Kriz, and Kyle Ormsby

In this paper, we set up foundations for motivic equivariant stable homotopy
theory with respect to the action of a finite group. As an application, we
define a motivic version of Real K-theory. We explore its relation with
Hermitian K-theory, and study its properties. This involves proving a new
periodicity theorem and also a completion theorem. We also define a motivic
version of the Real cobordism spectrum, and prove that it is a Z/2-equivariant
motivic E_infty ring spectrum.

Po Hu <po@math.wayne.edu>

Igor Kriz <ikriz@umich.edu>

Kyle Ormsby <ormsby@umich.edu>