Torsion Galois representations over CM fields and Hecke algebras in the derived category
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.
| Главные авторы: | , |
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| Формат: | Journal article |
| Язык: | English |
| Опубликовано: |
Cambridge University Press
2016
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| _version_ | 1826288651306270720 |
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| author | Newton, J Thorne, JA |
| author_facet | Newton, J Thorne, JA |
| author_sort | Newton, J |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T02:16:56Z |
| format | Journal article |
| id | oxford-uuid:a293ae5c-a835-40d2-bd5d-09d4a6a47bf4 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:16:56Z |
| publishDate | 2016 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | oxford-uuid:a293ae5c-a835-40d2-bd5d-09d4a6a47bf42022-03-27T02:20:59ZTorsion Galois representations over CM fields and Hecke algebras in the derived categoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a293ae5c-a835-40d2-bd5d-09d4a6a47bf4EnglishSymplectic ElementsCambridge University Press2016Newton, JThorne, JAWe 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. |
| spellingShingle | Newton, J Thorne, JA Torsion Galois representations over CM fields and Hecke algebras in the derived category |
| title | Torsion Galois representations over CM fields and Hecke algebras in the derived category |
| title_full | Torsion Galois representations over CM fields and Hecke algebras in the derived category |
| title_fullStr | Torsion Galois representations over CM fields and Hecke algebras in the derived category |
| title_full_unstemmed | Torsion Galois representations over CM fields and Hecke algebras in the derived category |
| title_short | Torsion Galois representations over CM fields and Hecke algebras in the derived category |
| title_sort | torsion galois representations over cm fields and hecke algebras in the derived category |
| work_keys_str_mv | AT newtonj torsiongaloisrepresentationsovercmfieldsandheckealgebrasinthederivedcategory AT thorneja torsiongaloisrepresentationsovercmfieldsandheckealgebrasinthederivedcategory |