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

Bibliographical note

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© Copyright 2015 Mathematical Sciences Publishers. All rights reserved.

Funding

Funders	Funder number
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China	1106400

ASJC Scopus subject areas

Geometry and Topology

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10.2140/agt.2015.15.2239

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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

Bibliographical note

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