TORSION GALOIS REPRESENTATIONS OVER CM FIELDS AND HECKE ALGEBRAS IN THE DERIVED CATEGORY

Thumbnail
View / Open Files
Authors
Newton, James
Thorne, Jack
Publication Date
2016-07-21
Journal Title
Forum of Mathematics, Sigma
ISSN
2050-5094
Publisher
Cambridge University Press
Volume
4
Number
e21
Language
English
Type
Article
This Version
VoR
Metadata
Show full item record
Citation
Newton, J., & Thorne, J. (2016). TORSION GALOIS REPRESENTATIONS OVER CM FIELDS AND HECKE ALGEBRAS IN THE DERIVED CATEGORY. Forum of Mathematics, Sigma, 4 (e21)https://doi.org/10.1017/fms.2016.16
Abstract
We construct algebras of endomorphisms in the derived category of the cohomology of arithmetic manifolds, which are generated by Hecke operators. We construct Galois representations with coefficients in these Hecke algebras and apply this technique to sharpen recent results of P. Scholze.
Sponsorship
This research was partially conducted during the period that Jack Thorne served as a Clay Research Fellow. James Newton is supported by the ERC Starting grant 306326.
Embargo Lift Date
2100-01-01
Identifiers
External DOI: https://doi.org/10.1017/fms.2016.16
This record's URL: https://www.repository.cam.ac.uk/handle/1810/256854

Rights
Attribution 4.0 International
Licence URL: http://creativecommons.org/licenses/by/4.0/


The following licence files are associated with this item:

Attribution 4.0 International
Except where otherwise noted, this item's licence is described as Attribution 4.0 International