Additive power operations in equivariant cohomology, II

Well-behaved multiplicative cohomology theories are equipped with power operations, multiplicative maps generalizing the m-fold product. The power operations are multiplicative, but only become additive, that is maps of rings, after collapsing a certain transfer ideal. In this talk, I will discuss the analogous story for power operations in the equivariant context. I will introduce Mackey and Green functors, equivariant analogues of abelian groups and commutative rings, and provide examples from equivariant homotopy theory. Then I will describe an explicit minimal ideal that must be collapsed in order to ensure that the power operation in the equivariant context is a map of Green functors. This is joint work with Peter Bonventre and Bert Guillou.