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4. Pro-etale cohomology of Lubin-Tate space


    1. Add remark

      Problem 4.1.

      What is $H^*_\text{proet}(\text{LT}_n, \mathscr{O}^+)$ (e.g. when $n = 1,2$)? What is $H^*_\text{proet}([\text{LT}_n/\mathbf{G}_n], \mathscr{O}^+)$? Is it of finite cohomological dimension? Is it finitely generated?
          This is studied in [arxiv:2402.00960] with bounds on the $p$-torsion.

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