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The geometry of outer space: investigated through its analogy with Teichmuller space

The geometry of outer space: investigated through its analogy with Teichmuller space
外层空间的几何形状:通过与泰希米勒空间的类比进行研究
批准号:
1331129
负责人:
Lee Mosher
金额:
$3.3万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2013
资助国家:
美国
项目状态:
已结题
起止时间:
2013-06-01 至 2014-05-31

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中文摘要
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英文摘要
The special program on the Geometry of Outer space will be hosted by the Aix Marseille Universite. It will include a summer school and introductory workshop June 24-29, 2013 and a research program July 1-28, 2013. The summer school will include four lecture series, as well as several research talks. The research program will include a minimum of five weekly seminars, as well as discussion groups.One can often better understand an abstract group by viewing it as the group of distance-preserving functions of a geometric object, such as the group of symmetries of a crystal. We will focus on two particular examples. We will focus on how the geometry of a surface's Teichmuller space has been used to study its mapping class group. And, in analogy, we will explore using the Outer space for a free group to study its outer automorphism group. To do this we will bring together many of the world's experts in both Teichmuller theory and in outer automorphism groups of free groups.More details can be seen at http://www.latp.univ-mrs.fr/~catherine.pfaff/GOS.html
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Hierarchy Theory for Automorphism and Outer Automorphism Groups of Free Groups
  • 批准号:
    1708361
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $29.07万
  • 财政年份:
    2017
  • 负责人:
    Lee Mosher
  • 依托单位:
Geometry and dynamics of outer automorphism groups of free groups
  • 批准号:
    1406376
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $25.94万
  • 财政年份:
    2014
  • 负责人:
    Lee Mosher
  • 依托单位:
Geometry of the outer automorphism group of a free group
  • 批准号:
    1006248
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $39.87万
  • 财政年份:
    2010
  • 负责人:
    Lee Mosher
  • 依托单位:
Geometry of Mapping Class Groups and Outer Automorphism Groups
  • 批准号:
    0706799
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $33.17万
  • 财政年份:
    2007
  • 负责人:
    Lee Mosher
  • 依托单位:
海外基金