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

Producción científica: Article › revisión exhaustiva

1 Cita (Scopus)

Resumen

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.

Idioma original	English
Número de artículo	A010
Páginas (desde-hasta)	2239-2268
Número de páginas	30
Publicación	Algebraic and Geometric Topology
Volumen	15
N.º	4
DOI	https://doi.org/10.2140/agt.2015.15.2239
Estado	Published - oct 10 2015

Nota bibliográfica

Publisher Copyright:
© Copyright 2015 Mathematical Sciences Publishers. All rights reserved.

Financiación

Financiadores	Número del financiador
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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AU - Peterson, Eric

AU - Stapleton, Nathaniel

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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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U2 - 10.2140/agt.2015.15.2239

DO - 10.2140/agt.2015.15.2239

M3 - Article

AN - SCOPUS:84943269378

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JO - Algebraic and Geometric Topology

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A relative Lubin–Tate theorem via higher formal geometry

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Financiación

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