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Conference: Topological methods in group theory, June 16-20, 2014

Conference: Topological methods in group theory, June 16-20, 2014
会议:群论中的拓扑方法,2014 年 6 月 16-20 日
批准号:
1441592
负责人:
Jean-Francois Lafont
金额:
$3.2万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2014
资助国家:
美国
项目状态:
已结题
起止时间:
2014-05-01 至 2015-04-30

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中文摘要
翻译
“群论中的拓扑方法”会议将于2014年6月16日至20日在俄亥俄州立大学举行。群论是19世纪早期发展起来的一个数学领域。它为研究一个物体的对称性集合提供了合适的语言,并且是现代数学的核心。这个理论的核心是一个称为群的代数结构。在20世纪80年代早期,俄罗斯几何学家米沙·格罗莫夫(Misha Gromov)意识到可以应用几何技术来研究这些代数结构。这一非凡的见解导致了一种新的领域——几何群论的发展。这个领域非常活跃,有很多美国和国外的数学家。会议的目的是召集该领域的专家讨论该领域的最新发展。这次会议将有大量的全体会议,既有来自该领域的知名领导人,也有来自有前途的年轻研究人员。一些主题将包括:(i)有限渐近维群,(ii)群的适应性,(iii)特殊立方体复合体和应用,(iv)群的有限性,(v) Thompson群和类似物,(vi) Coxeter和Artin群,(vii) L^2-上同调技术,(viii) Cannon-Thurston风格映射和应用。除了全体会议之外,我们计划在平行会议上进行较短(2000万)的会议,让年轻的数学家和研究生有机会广泛传播他们的成果。更多信息,请登录https://people.math.osu.edu/lafont.1/TopMethodsConf.html
英文摘要
"Topological Methods in Group Theory" is a conference to be held at Ohio State University, during the week of June 16th-20th, 2014. Group theory is an area of mathematics that was developed in the early 1800's. It provides the appropriate language for studying the collection of symmetries of an object, and is central to much of modern day mathematics. The central player in this theory is an algebraic structure called a group. In the early 1980's, the Russian geometer Misha Gromov realized that one could apply geometric techniques to study these algebraic structures. This remarkable insight led to the development of a new field - geometric group theory. This field is extremely active, with a lot of mathematicians both in the US and abroad. The conference is intended to bring together experts in the field to discuss the latest developments in the area. The conference will feature a large number of plenary talks, both from well-established leaders in the field, as well as from promising young researchers. Some of the topics that will be featured include:(i) groups of finite asymptotic dimension, (ii) amenability of groups,(iii) special cube complexes and applications, (iv)finiteness properties of groups, (v) Thompson's group and analogues, (vi) Coxeter and Artin groups, (vii) L^2-cohomology techniques, (viii) Cannon-Thurston style maps and applications. In addition to the plenary talks, we plan on having shorter (20mn) talks run in parallel sessions, giving younger mathematicians and graduate students the opportunity to broadly disseminate their results. For more information, please check https://people.math.osu.edu/lafont.1/TopMethodsConf.html
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Around Non-Positive Curvature
  • 批准号:
    2109683
  • 项目类别:
    Standard Grant
  • 资助金额:
    $27.75万
  • 财政年份:
    2021
  • 负责人:
    Jean-Francois Lafont
  • 依托单位:
Geometry, Topology, and Dynamics of Spaces of Non-Positive Curvature
  • 批准号:
    1812028
  • 项目类别:
    Standard Grant
  • 资助金额:
    $19.0万
  • 财政年份:
    2018
  • 负责人:
    Jean-Francois Lafont
  • 依托单位:
Aspects of non-positive curvature
  • 批准号:
    1510640
  • 项目类别:
    Standard Grant
  • 资助金额:
    $22.05万
  • 财政年份:
    2015
  • 负责人:
    Jean-Francois Lafont
  • 依托单位:
Geometry and Topology in Samos
  • 批准号:
    1237653
  • 项目类别:
    Standard Grant
  • 资助金额:
    $4.2万
  • 财政年份:
    2012
  • 负责人:
    Jean-Francois Lafont
  • 依托单位:
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