The geometry of outer space: investigated through its analogy with Teichmuller space
The geometry of outer space: investigated through its analogy with Teichmuller space
批准号:
1331129
负责人:
Lee Mosher
金额:
$3.3万
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
中文摘要
外层空间几何学特别方案将由艾克斯马赛大学主办。它将包括一个暑期学校和介绍性研讨会6月24日至29日,2013年和研究计划7月1日至28日,2013年。暑期学校将包括四个系列讲座,以及几个研究会谈。研究计划将包括每周至少五次的研讨会,以及讨论小组。人们通常可以更好地理解一个抽象的组,通过将其视为几何对象的距离保持函数组,例如晶体的对称性组。我们将集中讨论两个具体的例子。我们将集中讨论如何几何曲面的Teichmuller空间已被用来研究其映射类组。并且,以此类推,我们将探索利用自由群的外层空间来研究它的外自同构群。为了做到这一点,我们将召集世界上许多在Teichmuller理论和自由群的外自同构群方面的专家。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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会议论文
Hierarchy Theory for Automorphism and Outer Automorphism Groups of Free Groups
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批准号:1708361
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项目类别:Continuing Grant
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资助金额:$29.07万
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财政年份:2017
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负责人:Lee Mosher
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依托单位:
Geometry and dynamics of outer automorphism groups of free groups
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批准号:1406376
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项目类别:Continuing Grant
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资助金额:$25.94万
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财政年份:2014
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负责人:Lee Mosher
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依托单位:
Geometry of the outer automorphism group of a free group
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批准号:1006248
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项目类别:Continuing Grant
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资助金额:$39.87万
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财政年份:2010
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负责人:Lee Mosher
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依托单位:
Geometry of Mapping Class Groups and Outer Automorphism Groups
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批准号:0706799
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项目类别:Continuing Grant
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资助金额:$33.17万
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财政年份:2007
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负责人:Lee Mosher
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依托单位:
Geometric Group Theory
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批准号:0405979
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项目类别:Continuing Grant
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资助金额:$0.0万
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财政年份:2004
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负责人:Lee Mosher
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依托单位:
Geometric Group Theory
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批准号:0103208
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项目类别:Continuing Grant
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资助金额:$10.5万
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财政年份:2001
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负责人:Lee Mosher
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依托单位:
Geometric Group Theory
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批准号:9803396
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项目类别:Continuing Grant
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资助金额:$9.34万
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财政年份:1998
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负责人:Lee Mosher
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依托单位:
Mathematical Sciences: Topics in Low-Dimensional Topology and Geometric Group Theory
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批准号:9504946
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项目类别:Continuing Grant
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资助金额:$7.28万
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财政年份:1995
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负责人:Lee Mosher
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依托单位:
Mathematical Sciences: Topics in Low-Dimensional Topology
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批准号:9204331
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项目类别:Continuing Grant
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资助金额:$14.22万
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财政年份:1992
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负责人:Lee Mosher
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依托单位:
Mathematical Sciences: Dynamical Systems in 3-dimensional Topology
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批准号:9002587
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项目类别:Standard Grant
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资助金额:$5.92万
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财政年份:1990
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负责人:Lee Mosher
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依托单位:
Mathematical Sciences Postdoctoral Research Fellowship
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批准号:8705932
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项目类别:Fellowship Award
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资助金额:$7.41万
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财政年份:1987
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负责人:Lee Mosher
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依托单位:
Mathematical Sciences: Topics in Low-dimensional Topology
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批准号:8403567
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项目类别:Standard Grant
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资助金额:$2.86万
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财政年份:1984
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负责人:Lee Mosher
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依托单位:
海外基金