LANGLANDS RECIPROCITY FOR THE EVEN-DIMENSIONAL NONCOMMUTATIVE TORI

被引：1

作者：

Nikolaev, Igor ^{[1
]}

机构：

[1] Fields Inst Res Math Sci, Toronto, ON M5T 3J1, Canada

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 12期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Langlands program; noncommutative tori;

D O I：

10.1090/S0002-9939-2011-10864-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We conjecture an explicit formula for the higher-dimensional Dirichlet character; the formula is based on the K-theory of the so-called noncommutative tori. It is proved that our conjecture is true for the two-dimensional and one-dimensional (degenerate) noncommutative tori. In the second case, one gets a noncommutative analog of the Artin reciprocity law.

引用

页码：4153 / 4162

页数：10

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