TORSION GALOIS REPRESENTATIONS OVER CM FIELDS AND HECKE ALGEBRAS IN THE DERIVED CATEGORY-Reference-Cited by-同舟云学术

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

Published:2016 Issue: Volume:4 Page:
ISSN:2050-5094
Container-title:Forum of Mathematics, Sigma
language:en
Short-container-title:Forum of Mathematics, Sigma

Author:

NEWTON JAMES,THORNE JACK A.

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.

Publisher

Cambridge University Press (CUP)

Subject

Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis

Reference44 articles.

1. Perfectoid Spaces

2. Cohomologie Etale

3. Almost Ring Theory

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