A relative Lubin–Tate theorem via higher formal geometry

Aaron Mazel-Gee; Eric Peterson; Nathaniel Stapleton

doi:10.2140/agt.2015.15.2239

A relative Lubin–Tate theorem via higher formal geometry

Aaron Mazel-Gee, Eric Peterson, Nathaniel Stapleton

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Article number	A010
Pages (from-to)	2239-2268
Number of pages	30
Journal	Algebraic and Geometric Topology
Volume	15
Issue number	4
DOIs	https://doi.org/10.2140/agt.2015.15.2239
State	Published - Oct 10 2015

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© Copyright 2015 Mathematical Sciences Publishers. All rights reserved.

ASJC Scopus subject areas

Geometry and Topology

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10.2140/agt.2015.15.2239

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N2 - 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.

AB - 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.

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A relative Lubin–Tate theorem via higher formal geometry

Abstract

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