TORSION GALOIS REPRESENTATIONS OVER CM FIELDS AND HECKE ALGEBRAS IN THE DERIVED CATEGORY
Forum of Mathematics, Sigma
Cambridge University Press
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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
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.
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.
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External DOI: https://doi.org/10.1017/fms.2016.16
This record's URL: https://www.repository.cam.ac.uk/handle/1810/256854
Attribution 4.0 International
Licence URL: http://creativecommons.org/licenses/by/4.0/
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