Models of Lubin–Tate spectra via Real bordism theory

Agnès Beaudry; Michael A. Hill; Xiao Lin Danny Shi; Mingcong Zeng

doi:10.1016/j.aim.2021.108020

Models of Lubin–Tate spectra via Real bordism theory

Agnès Beaudry, Michael A. Hill, Xiao Lin Danny Shi, Mingcong Zeng

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6 Scopus citations

Abstract

We study certain formal group laws equipped with an action of the cyclic group of order a power of 2. We construct C_2ⁿ-equivariant Real oriented models of Lubin–Tate spectra E_h at heights h=2ⁿ⁻¹m and give explicit formulas of the C_2ⁿ-action on their coefficient rings. Our construction utilizes equivariant formal group laws associated with the norms of the Real bordism theory MU_R, and our work examines the height of the formal group laws of the Hill–Hopkins–Ravenel norms of MU_R.

Original language	English (US)
Article number	108020
Journal	Advances in Mathematics
Volume	392
DOIs	https://doi.org/10.1016/j.aim.2021.108020
State	Published - Dec 3 2021
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2021 Elsevier Inc.

Keywords

Chromatic homotopy theory
Formal group laws
Lubin-Tate theory
Morava E-theory
Real Brown-Peterson spectrum
Real bordism

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10.1016/j.aim.2021.108020

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title = "Models of Lubin–Tate spectra via Real bordism theory",

abstract = "We study certain formal group laws equipped with an action of the cyclic group of order a power of 2. We construct C2n-equivariant Real oriented models of Lubin–Tate spectra Eh at heights h=2n−1m and give explicit formulas of the C2n-action on their coefficient rings. Our construction utilizes equivariant formal group laws associated with the norms of the Real bordism theory MUR, and our work examines the height of the formal group laws of the Hill–Hopkins–Ravenel norms of MUR.",

keywords = "Chromatic homotopy theory, Formal group laws, Lubin-Tate theory, Morava E-theory, Real Brown-Peterson spectrum, Real bordism",

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year = "2021",

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doi = "10.1016/j.aim.2021.108020",

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T1 - Models of Lubin–Tate spectra via Real bordism theory

AU - Beaudry, Agnès

AU - Hill, Michael A.

AU - Shi, Xiao Lin Danny

AU - Zeng, Mingcong

PY - 2021/12/3

Y1 - 2021/12/3

N2 - We study certain formal group laws equipped with an action of the cyclic group of order a power of 2. We construct C2n-equivariant Real oriented models of Lubin–Tate spectra Eh at heights h=2n−1m and give explicit formulas of the C2n-action on their coefficient rings. Our construction utilizes equivariant formal group laws associated with the norms of the Real bordism theory MUR, and our work examines the height of the formal group laws of the Hill–Hopkins–Ravenel norms of MUR.

AB - We study certain formal group laws equipped with an action of the cyclic group of order a power of 2. We construct C2n-equivariant Real oriented models of Lubin–Tate spectra Eh at heights h=2n−1m and give explicit formulas of the C2n-action on their coefficient rings. Our construction utilizes equivariant formal group laws associated with the norms of the Real bordism theory MUR, and our work examines the height of the formal group laws of the Hill–Hopkins–Ravenel norms of MUR.

KW - Chromatic homotopy theory

KW - Formal group laws

KW - Lubin-Tate theory

KW - Morava E-theory

KW - Real Brown-Peterson spectrum

KW - Real bordism

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DO - 10.1016/j.aim.2021.108020

M3 - Article

AN - SCOPUS:85114993049

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VL - 392

JO - Advances in Mathematics

JF - Advances in Mathematics

M1 - 108020

ER -

Models of Lubin–Tate spectra via Real bordism theory

Abstract

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