The Galois action on symplectic K-theory

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Standard

The Galois action on symplectic K-theory. / Feng, Tony; Galatius, Soren; Venkatesh, Akshay.

In: Inventiones Mathematicae, Vol. 230, 2022, p. 225-319.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Feng, T, Galatius, S & Venkatesh, A 2022, 'The Galois action on symplectic K-theory', Inventiones Mathematicae, vol. 230, pp. 225-319. https://doi.org/10.1007/s00222-022-01127-8

APA

Feng, T., Galatius, S., & Venkatesh, A. (2022). The Galois action on symplectic K-theory. Inventiones Mathematicae, 230, 225-319. https://doi.org/10.1007/s00222-022-01127-8

Vancouver

Feng T, Galatius S, Venkatesh A. The Galois action on symplectic K-theory. Inventiones Mathematicae. 2022;230:225-319. https://doi.org/10.1007/s00222-022-01127-8

Author

Feng, Tony ; Galatius, Soren ; Venkatesh, Akshay. / The Galois action on symplectic K-theory. In: Inventiones Mathematicae. 2022 ; Vol. 230. pp. 225-319.

Bibtex

@article{7dbb48be080644439ce55a66476ad420,
title = "The Galois action on symplectic K-theory",
abstract = "We study a symplectic variant of algebraic K-theory of the integers, which comes equipped with a canonical action of the absolute Galois group of Q. We compute this action explicitly. The representations we see are extensions of Tate twists Zp(2 k- 1) by a trivial representation, and we characterize them by a universal property among such extensions. The key tool in the proof is the theory of complex multiplication for abelian varieties.",
author = "Tony Feng and Soren Galatius and Akshay Venkatesh",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s).",
year = "2022",
doi = "10.1007/s00222-022-01127-8",
language = "English",
volume = "230",
pages = "225--319",
journal = "Inventiones Mathematicae",
issn = "0020-9910",
publisher = "Springer",

}

RIS

TY - JOUR

T1 - The Galois action on symplectic K-theory

AU - Feng, Tony

AU - Galatius, Soren

AU - Venkatesh, Akshay

N1 - Publisher Copyright: © 2022, The Author(s).

PY - 2022

Y1 - 2022

N2 - We study a symplectic variant of algebraic K-theory of the integers, which comes equipped with a canonical action of the absolute Galois group of Q. We compute this action explicitly. The representations we see are extensions of Tate twists Zp(2 k- 1) by a trivial representation, and we characterize them by a universal property among such extensions. The key tool in the proof is the theory of complex multiplication for abelian varieties.

AB - We study a symplectic variant of algebraic K-theory of the integers, which comes equipped with a canonical action of the absolute Galois group of Q. We compute this action explicitly. The representations we see are extensions of Tate twists Zp(2 k- 1) by a trivial representation, and we characterize them by a universal property among such extensions. The key tool in the proof is the theory of complex multiplication for abelian varieties.

U2 - 10.1007/s00222-022-01127-8

DO - 10.1007/s00222-022-01127-8

M3 - Journal article

AN - SCOPUS:85133598266

VL - 230

SP - 225

EP - 319

JO - Inventiones Mathematicae

JF - Inventiones Mathematicae

SN - 0020-9910

ER -

ID: 344720611