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Mathematical Sciences: Differential Equations, Group Representations, and Mathematical Physics

Mathematical Sciences: Differential Equations, Group Representations, and Mathematical Physics
数学科学:微分方程、群表示和数学物理
批准号:
9002579
负责人:
V. Varadarajan
金额:
$7.62万
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1990
资助国家:
美国
项目状态:
已结题
起止时间:
1990-07-01 至 1993-06-30

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中文摘要
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英文摘要
Professors Varadarajan and Babbitt will work on a variety of projects. The first is a joint project involving the study of differential equations in a broad framework which relates them to algebraic groups and their representations. The questions to be studied have broad significance in such areas as differential modules over schemes, moduli of vector bundles, theory of algebraic groups, asymptotic analysis, and invariant differential operators and distributions. Other projects involve representation theory of the Poincare group, and scattering theory in the quantum Heisenberg model. The joint project focuses on the behavior of solutions to differential equations with singularities as a function of external parameters. The other projects fall under the heading of mathematical physics and involve mathematical aspects of quantum theory.
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Mathematical Sciences: Differential Equations and Algebraic Groups and Their Representations - Discrete Subgroups of Semisimple Lie Groups
  • 批准号:
    8803289
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $15.85万
  • 财政年份:
    1988
  • 负责人:
    V. Varadarajan
  • 依托单位:
Mathematical Sciences: Analysis and Geometry on Locally Homogeneous Spaces and Differential Equations
  • 批准号:
    8501742
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $15.99万
  • 财政年份:
    1985
  • 负责人:
    V. Varadarajan
  • 依托单位:
Mathematical Sciences: Harmonic Analysis and Differential Equations on Reductive Groups and Locally Symmetric Spaces
  • 批准号:
    8200639
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $10.23万
  • 财政年份:
    1982
  • 负责人:
    V. Varadarajan
  • 依托单位:
Harmonic Analysis on Semisimple Lie Groups
  • 批准号:
    7903184
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $5.67万
  • 财政年份:
    1979
  • 负责人:
    V. Varadarajan
  • 依托单位:
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