3. Power Operations
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For example, in the context of HKR character theory. The example for $BG$ for a finite group $G$ is worked out in [arxiv:1502.01987]. Ben–Moshe’s work on transchromatic ambidexterity might also be relevant [arxiv:2411.00968].
Problem 3.1.
Can one use the $\text{GL}_n(\mathbf{Z}_p)$ action on $\mathcal{H}^{n-1}$ to understand power operations of $L_{K(0)} E_n$?
Cite this as: AimPL: Chromatic homotopy theory and p-adic geometry, available at http://aimpl.org/chromhomotopy.