课题基金 / 基金详情

3 Manifolds and Knot Theory

3 Manifolds and Knot Theory
3 流形和结理论
批准号:
0426087
负责人:
John Luecke
金额:
$2.93万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2004
资助国家:
美国
项目状态:
已结题
起止时间:
2004-10-01 至 2005-09-30
关键词:

项目摘要

项目成果

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中文摘要
翻译
纽结理论和3-流形最近看到了几个由来已久的程序的成果。会议的目的是为研究界提供一个论坛,吸收该领域的最新进展和新兴技术。会议的广阔视角对于将年轻研究人员带入该领域的前沿尤为重要;因此,将特别关注对研究生和博士后的支持。结节和他们生活的三维空间长期以来一直是数学研究的重要对象。最近的时间表明,该领域与数学的其他分支以及生物学和宇宙学等物理科学密切相关。这为理解这些空间提供了新的动力。会议将汇集所有与纽结理论和三维空间有关的不同领域的专家,目的是传播该领域最近的重要成果,概述研究现状,并为未来的探索指明方向。这些讲座的对象既有该领域的专家,也有新手。
英文摘要
Knot theory and 3-manifolds have recently seen the fruition of severallong-standing programs. The aim of the conference is to give a forum forthe research community to assimilate recent advances and emerging techniquesin the field. The broad perspective of the conference is particularly important for bringing young researchers to the forefront of the field;consequently, special attention will be paid to the support of graduate students and postdocs.Knots and the three dimensional spaces in which they live have longbeen important objects of study in mathematics. More recent times have shownthat the area is intimately related tomany other branches of mathematics as well as to physicalsciences like biology and cosmology. This hasprovided renewed impetus for understanding these spaces. Theconference will bring together experts in various fields all of which haveconnections to knot theory and 3-dimensional spaces, with theintention of disseminating recent important results in the area, providing anoverview of the current state of research, as well as directions for futureexploration. These talks are aimed at both experts and novices in the area.
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Dehn Surgery on Links
  • 批准号:
    9803122
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $10.96万
  • 财政年份:
    1998
  • 负责人:
    John Luecke
  • 依托单位:
Mathematical Sciences: Presidential Young Investigator Award
  • 批准号:
    9158090
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $27.5万
  • 财政年份:
    1991
  • 负责人:
    John Luecke
  • 依托单位:
Mathematical Sciences: Dehn Surgery on Links
  • 批准号:
    8903599
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $5.81万
  • 财政年份:
    1989
  • 负责人:
    John Luecke
  • 依托单位:
Mathematical Sciences Postdoctoral Research Fellowship
  • 批准号:
    8605808
  • 项目类别:
    Fellowship Award
  • 资助金额:
    $6.86万
  • 财政年份:
    1986
  • 负责人:
    John Luecke
  • 依托单位:
海外基金