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Mathematical Sciences: Theory of P-adic Hecke Algebras and Iwasawa Theory for CM Fields

Mathematical Sciences: Theory of P-adic Hecke Algebras and Iwasawa Theory for CM Fields
数学科学:P-adic Hecke 代数理论和 CM 场 Iwasawa 理论
批准号:
9100704
负责人:
Haruzo Hida
金额:
$15.03万
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1991
资助国家:
美国
项目状态:
已结题
起止时间:
1991-07-01 至 1995-06-30

项目摘要

项目成果

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中文摘要
翻译
希达教授将致力于p-adic Hecke理论 代数及其在CM域的岩泽理论中的应用 他 还将致力于研究半整数权重的形式, 全真实的域,p-adic对称方L- 函数及其在分圆Z-p塔上的应用 这些领域 这个项目福尔斯属于算术的一般范畴 几何学-一个融合了两个最古老的领域的主题, 数学:数论和几何。 这种组合有 被证明是非常富有成效的-最近解决了一些问题 经受住了几代人的考验 在其众多后果中, 纠错码 这些准则对现代和 计算机(硬盘)和光盘。
英文摘要
Professor Hida will work on the theory of p-adic Hecke algebras and their applications to Iwasawa theory of CM fields. He will also work on studying forms of half integral weight over totally real fields, the construction of p-adic symmetric square L- functions and their application to the cyclotomic Z-p tower of these fields. This project falls into the general area of arithmetic geometry -a subject that blends two of the oldest areas of mathematics: number theory and geometry. This combination has proved extraordinarily fruitful - having recently solved problems that withstood generations. Among its many consequences are new error correcting codes. Such codes are essential for both modern computers (hard disks) and compact disks.
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会议论文
Arithmetic Invariants and Their Non-Triviality
FRG: Collaborative Research: Automorphic forms, Galois representations, periods and p-adic L-functions
L- functions, Galois representations and their arithmetic
  • 批准号:
    0753991
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $58.04万
  • 财政年份:
    2008
  • 负责人:
    Haruzo Hida
  • 依托单位:
"Collaborative Research: FRG: Automorphic Forms, Galois Representations, and Special Values of L-functions"
国内基金
海外基金
Handbook of the Mathematics of the Arts and Sciences的中文翻译
  • 批准号:
    12226504
  • 项目类别:
    数学天元基金项目
  • 资助金额:
    20.0万元
  • 批准年份:
    2022
  • 负责人:
    黄朝凌
  • 依托单位:
SCIENCE CHINA: Earth Sciences
Journal of Environmental Sciences
SCIENCE CHINA Information Sciences