The Galois action on symplectic K-theory

Research output: Contribution to journalJournal articleResearchpeer-review


  • Fulltext

    Final published version, 930 KB, PDF document

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.

Original languageEnglish
JournalInventiones Mathematicae
Pages (from-to)225-319
Publication statusPublished - 2022

Bibliographical note

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

Number of downloads are based on statistics from Google Scholar and

No data available

ID: 344720611