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BIRS Workshop Lecture Videos

Additive Power Operations in Equivariant Cohomology Guillou, Bert


An $H_{\infty}$ ring spectrum comes with an $m$th power operation for any positive integer $m$, and this becomes additive only after collapsing a certain transfer ideal. I will discuss the analogous situation equivariantly, both in the case of $G$-spectra and in the global setting. In each case, I will identity precisely the minimal ideal that must be collapsed in order to make the $m$th power operation a map of Mackey functors. I will provide examples, such as the sphere spectrum and complex $K$-theory. This is joint work with Peter Bonventre and Nat Stapleton.

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