Dear Spiral User, we appreciate your patience during this upgrade which is to benefit our userbase, improve their experience in Spiral, introduce improvements, fixes and maintaining our versioning for future updates. Please note if you encounter any issues in Spiral, please raise a ticket to Research Applications team providing as much detail as possible in order to help us resolve your query. Again, we thank you for your patience and support during the upgrade. Kind Regards, Spiral Upgrade Team.
 
Torsion Galois representations over CM fields and Hecke algebras in the derived category
File(s)
S2050509416000165a.pdf (853.34 KB)
Published version
combined.pdf (690.63 KB)
Accepted version
Author(s)
Newton, JJM
Thorne, JA
Type
Journal Article
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.
Date Issued
2016-07-21
Date Acceptance
2016-05-29
Citation
Forum of Mathematics, Sigma, 2016, 4
URI
DOI
ISSN
2050-5094
Publisher
Cambridge University Press
Journal / Book Title
Forum of Mathematics, Sigma
Volume
4
Copyright Statement
© The Author(s) 2016. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
License URL
Publication Status
Published
Article Number
e21