A relative Lubin–Tate theorem via higher formal geometry

Abstract

We formulate a theory of punctured affine formal schemes, suitable for describing certain phenomena within algebraic topology. As a proof-of-concept we show that the Morava $K$–theoretic localizations of Morava $E$–theory, which arise in transchromatic homotopy theory, corepresent a Lubin–Tate-type moduli problem in this framework.