A Relative Lubin-Tate Theorem via Meromorphic Formal Geometry
Aaron Mazel-Gee, Eric Peterson, Nathaniel Stapleton
TL;DR
This paper develops a formal geometric framework for algebraic topology and demonstrates how Morava K-theoretic localizations relate to Lubin-Tate moduli problems within this setting.
Contribution
It introduces punctured affine formal schemes and applies them to connect Morava K-theory localizations with Lubin-Tate deformation theory.
Findings
Morava K-theoretic localizations corepresent Lubin-Tate moduli
Development of punctured affine formal schemes for topology
Establishment of a formal geometric approach to algebraic topology
Abstract
We formulate a theory of punctured affine formal schemes, suitable for certain problems within algebraic topology. As an application, we show that the Morava K-theoretic localizations of Morava E-theory corepresent a version of the Lubin-Tate moduli problem in this framework.
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