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arXiv · 1711.04806

The Lubin-Tate stack and Gross-Hopkins duality

Sanath K. Devalapurkar
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Abstract

Morava $E$-theory $E$ is an $E_\infty$-ring with an action of the Morava stabilizer group $\Gamma$. We study the derived stack $\operatorname{Spf} E/\Gamma$. Descent-theoretic techniques allow us to deduce a theorem of Hopkins-Mahowald-Sadofsky on the $K(n)$-local Picard group, as well as a recent result of Barthel-Beaudry-Stojanoska on the Anderson duals of higher real $K$-theories.

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Sanath K. Devalapurkar. 2017-11-13. The Lubin-Tate stack and Gross-Hopkins duality. https://arxiv.org/abs/1711.04806

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