TORSION GALOIS REPRESENTATIONS over CM FIELDS and HECKE ALGEBRAS in the DERIVED CATEGORY
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Newton, J
Thorne, JA
Abstract
jats:pWe 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.</jats:p>
Description
Keywords
4902 Mathematical Physics, 4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, 49 Mathematical Sciences
Journal Title
Forum of Mathematics, Sigma
Conference Name
Journal ISSN
2050-5094
2050-5094
2050-5094
Volume Title
4
Publisher
Cambridge University Press (CUP)
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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.