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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
翻译
外层空间几何学特别节目将由艾克斯·马赛大学主办。它将包括2013年6月24日至29日的暑期班和入门研讨会,以及2013年7月1日至28日的研究计划。暑期班将包括四个系列讲座,以及几个研究讲座。研究计划将包括每周至少五次的研讨会和讨论小组。人们通常可以通过将抽象群体视为几何对象的保距离函数组来更好地理解它,例如晶体的对称性组。我们将重点介绍两个特定的例子。我们将集中讨论曲面的TeichMuller空间的几何如何用于研究其映射类组。类似地,我们将探索利用外层空间的自由群来研究它的外自同构群。为了做到这一点,我们将汇集世界上许多在泰希穆勒理论和自由群的外自同构群中的专家。更多详细信息请访问http://www.latp.univ-mrs.fr/~catherine.pfaff/GOS.html
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