A transchromatic proof of Strickland's theorem

Tomer M. Schlank; Nathaniel Stapleton

doi:10.1016/j.aim.2015.07.025

A transchromatic proof of Strickland's theorem

Tomer M. Schlank
, Nathaniel Stapleton

Mathematics

Producción científica: Article › revisión exhaustiva

8 Citas (Scopus)

Resumen

In [15] Strickland proved that the Morava E-theory of the symmetric group has an algebro-geometric interpretation after taking the quotient by a certain transfer ideal. This result has influenced most of the work on power operations in Morava E-theory and provides an important calculational tool. In this paper we give a new proof of this result as well as a generalization by using transchromatic character theory. The character maps are used to reduce Strickland's result to representation theory.

Idioma original	English
Páginas (desde-hasta)	1415-1447
Número de páginas	33
Publicación	Advances in Mathematics
Volumen	285
DOI	https://doi.org/10.1016/j.aim.2015.07.025
Estado	Published - nov 5 2015

Nota bibliográfica

Publisher Copyright:
© 2015 Elsevier Inc.

Financiación

It is a pleasure to thank Jacob Lurie for suggesting reduction to height 1. With a sentence he initiated this project. We would like to thank Tobias Barthel for many useful conversations and for his interest from the very start. We have been strongly influenced by the work of Charles Rezk and Neil Strickland and we are grateful to Charles Rezk for several discussions. We also thank Mark Behrens, Pavel Etingof, Tyler Lawson, Haynes Miller, Peter Nelson, Eric Peterson, and Vesna Stojanoska for their many helpful remarks. We would also like to thank the referee for helpful comments. The first author was supported by the Simons Foundation and the second author was partially supported by NSF grant DMS-0943787 .

Financiadores	Número del financiador
Simons Foundation
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	DMS-0943787

ASJC Scopus subject areas

General Mathematics

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abstract = "In [15] Strickland proved that the Morava E-theory of the symmetric group has an algebro-geometric interpretation after taking the quotient by a certain transfer ideal. This result has influenced most of the work on power operations in Morava E-theory and provides an important calculational tool. In this paper we give a new proof of this result as well as a generalization by using transchromatic character theory. The character maps are used to reduce Strickland's result to representation theory.",

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AU - Stapleton, Nathaniel

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N2 - In [15] Strickland proved that the Morava E-theory of the symmetric group has an algebro-geometric interpretation after taking the quotient by a certain transfer ideal. This result has influenced most of the work on power operations in Morava E-theory and provides an important calculational tool. In this paper we give a new proof of this result as well as a generalization by using transchromatic character theory. The character maps are used to reduce Strickland's result to representation theory.

AB - In [15] Strickland proved that the Morava E-theory of the symmetric group has an algebro-geometric interpretation after taking the quotient by a certain transfer ideal. This result has influenced most of the work on power operations in Morava E-theory and provides an important calculational tool. In this paper we give a new proof of this result as well as a generalization by using transchromatic character theory. The character maps are used to reduce Strickland's result to representation theory.

KW - Character theory

KW - Chromatic homotopy

KW - Morava E-theory

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JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

A transchromatic proof of Strickland's theorem

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

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