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

被引：19
|
作者：
Newton, James [1 ]
Thorne, Jack A. [2 ]
机构：
[1] Imperial Coll London, Dept Math, London SW7 2AZ, England
[2] Univ Cambridge, Dept Pure Math & Math Stat, Cambridge CB3 0WB, England
来源：
FORUM OF MATHEMATICS SIGMA | 2016年 / 4卷
基金：
欧洲研究理事会;
关键词：
AUTOMORPHIC SHEAVES; VANISHING THEOREMS; COHOMOLOGY;
D O I：
10.1017/fms.2016.16
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：88
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