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1. Brauer Group


    1. Add remark

      Problem 1.1.

      What is the (relative to $E_n$) Brauer group of the category of $K(n)$-local spectra?
          People have studied $\text{Br}^{\text{et}}(\text{TMF})$ and $\text{Br}(\text{Sp}_{K(1)})$. Related to $H^2(\mathbf{G}_n, \text{LT}^\times)$. The Picard group $H^1(\mathbf{G}_n, \text{LT}^\times)$ is studied in [arXiv:2407.20958]

          Cite this as: AimPL: Chromatic homotopy theory and p-adic geometry, available at http://aimpl.org/chromhomotopy.