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Manifolds and Groups

Manifolds and Groups
流形和组
批准号:
RGPIN-2017-03750
负责人:
Rolfsen, Dale
金额:
$1.02万
依托单位国家:
加拿大
项目类别:
Discovery Grants Program - Individual
财政年份:
2017
资助国家:
加拿大
项目状态:
已结题
起止时间:
2017-01-01 至 2018-12-31
关键词:

项目摘要

项目成果

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中文摘要
翻译
三维流形模拟了我们居住的宇宙。它们也出现在动力系统的研究、多变量方程的解以及数学、物理和工程中的其他应用中。我的研究计划将集中于更好地理解3流形,通过使用新旧代数和几何技术,为它们的分类和研究它们的结构做出贡献。一个相关的研究方向是群及其序的代数理论,以及从几何角度看待代数结构的几何群论。
英文摘要
Three-dimensional manifolds model the universe we inhabit. They also arise in the study of dynamical systems, solutions of several-variable equations and other applications in mathematics, physics and engineering. My research program will focus on a better understanding of 3-manifolds, to contribute to their classification and investigate their structures, by the use of algebraic and geometric techniques, both old and new. A related research direction is the algebraic theory of groups and their orderings, as well as geometric group theory, in which algebraic structures are viewed geometrically.
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Manifolds and Groups
  • 批准号:
    RGPIN-2017-03750
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $2.04万
  • 财政年份:
    2021
  • 负责人:
    Rolfsen, Dale
  • 依托单位:
Manifolds and Groups
  • 批准号:
    RGPIN-2017-03750
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.02万
  • 财政年份:
    2020
  • 负责人:
    Rolfsen, Dale
  • 依托单位:
Manifolds and Groups
  • 批准号:
    RGPIN-2017-03750
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.02万
  • 财政年份:
    2019
  • 负责人:
    Rolfsen, Dale
  • 依托单位:
Manifolds and Groups
  • 批准号:
    RGPIN-2017-03750
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.02万
  • 财政年份:
    2018
  • 负责人:
    Rolfsen, Dale
  • 依托单位:
海外基金