Conference Proposal:Summer School on Aspects of Geometric Group Theory

会议提案:几何群理论方面的暑期学校

基本信息

  • 批准号:
    1928652
  • 负责人:
  • 金额:
    $ 3.5万
  • 依托单位:
  • 依托单位国家:
    美国
  • 项目类别:
    Standard Grant
  • 财政年份:
    2019
  • 资助国家:
    美国
  • 起止时间:
    2019-07-01 至 2020-06-30
  • 项目状态:
    已结题

项目摘要

A summer school "Aspects of Geometric Group Theory" will be held July 8-19, 2019, at Institut des Hautes Etudes Scientifiques in Bures-sur-Yvette, France. This summer school features a distinguished collection of geometers and geometric group theorists who have been chosen both for their mathematical excellence and their outstanding expository skills. The summer school will attract talented early career mathematicians from around the world. The support from this project shall expose US-based graduate students and postdoctoral assistant professors to a broad spectrum of topics in geometric group theory at an early stage of their career development and to foster intellectual relationships, both with the lecturers and with other graduate students, which will benefit the students throughout their careers. These relationships will have a long-term positive impact on the interactions between the mathematical communities in geometric group theory in the U.S. and Europe. The organizing committee and the principal investigators are committed to funding a diverse group of mathematicians.Geometric group theory is devoted to exploring connections between algebraic properties of groups and topological and geometric properties of the spaces on which they act. Geometric group theory closely interacts with low dimensional topology, hyperbolic geometry, Lie groups and homogeneous spaces, algebraic topology, computational group theory, and differential geometry. There are also substantial connections with complexity theory, mathematical logic, dynamical systems, probability theory, K-theory, and other areas of mathematics. Geometric group theory is a very broad area, and this project shall focus on geometrical aspects of group actions, for example, actions on trees, curve complexes, cube complexes, and discrete groups arising in geometry, topology and dynamics. More information about the conference can be found at: https://indico.math.cnrs.fr/event/3784/overviewThis award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.
暑期学校“几何群论的方面”将于2019年7月8日至19日在法国布雷斯-苏尔-伊维特的高等科学研究所举行。这个暑期学校的特点是几何学家和几何群理论家的杰出集合,他们因其卓越的数学和出色的数学技能而被选中。暑期学校将吸引来自世界各地的有才华的早期职业数学家。该项目的支持将使美国的研究生和博士后助理教授在其职业发展的早期阶段接触到广泛的几何群论主题,并与讲师和其他研究生建立智力关系,这将使学生在整个职业生涯中受益。这些关系将对美国和欧洲的几何群论数学社区之间的互动产生长期的积极影响。组织委员会和主要研究人员致力于资助不同的数学家群体。几何群论致力于探索群的代数性质与它们作用的空间的拓扑和几何性质之间的联系。几何群论与低维拓扑、双曲几何、李群和齐性空间、代数拓扑、计算群论和微分几何密切相关。与复杂性理论、数理逻辑、动力系统、概率论、K理论和其他数学领域也有着实质性的联系。几何群论是一个非常广泛的领域,这个项目将集中在几何方面的群体行动,例如,行动的树木,曲线复合体,立方体复合体,和离散群体中出现的几何,拓扑和动力学。有关会议的更多信息可以在以下网站找到:https://indico.math.cnrs.fr/event/3784/overviewThis奖项反映了NSF的法定使命,并被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估来支持。

项目成果

期刊论文数量(0)
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Pallavi Dani其他文献

Bowditch's JSJ tree and the quasi‐isometry classification of certain Coxeter groups
Bowditch 的 JSJ 树和某些 Coxeter 群的拟等距分类
  • DOI:
    10.1112/topo.12033
  • 发表时间:
    2014
  • 期刊:
  • 影响因子:
    1.1
  • 作者:
    Pallavi Dani;Anne Thomas
  • 通讯作者:
    Anne Thomas
The asymptotic density of finite-order elements in virtually nilpotent groups
  • DOI:
    10.1016/j.jalgebra.2007.06.023
  • 发表时间:
    2006-01
  • 期刊:
  • 影响因子:
    0.9
  • 作者:
    Pallavi Dani
  • 通讯作者:
    Pallavi Dani
Morse theory and conjugacy classes of finite subgroups
  • DOI:
    10.1007/s10711-008-9257-x
  • 发表时间:
    2008-04-23
  • 期刊:
  • 影响因子:
    0.500
  • 作者:
    Noel Brady;Matt Clay;Pallavi Dani
  • 通讯作者:
    Pallavi Dani
Super-exponential distortion of subgroups of CAT(−1) groups
CAT(−1)群子群的超指数畸变
  • DOI:
    10.2140/agt.2007.7.301
  • 发表时间:
    2007
  • 期刊:
  • 影响因子:
    0.7
  • 作者:
    Josh Barnard;N. Brady;Pallavi Dani
  • 通讯作者:
    Pallavi Dani
Fractional distortion in hyperbolic groups
双曲群中的分数失真
  • DOI:
    10.1016/j.aim.2025.110418
  • 发表时间:
    2025-11-01
  • 期刊:
  • 影响因子:
    1.500
  • 作者:
    Pallavi Dani;Timothy Riley
  • 通讯作者:
    Timothy Riley

Pallavi Dani的其他文献

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{{ truncateString('Pallavi Dani', 18)}}的其他基金

The geometry of non-positively curved groups
非正曲群的几何形状
  • 批准号:
    1812061
  • 财政年份:
    2018
  • 资助金额:
    $ 3.5万
  • 项目类别:
    Standard Grant
Filling invariants for groups
填充组的不变量
  • 批准号:
    1207868
  • 财政年份:
    2012
  • 资助金额:
    $ 3.5万
  • 项目类别:
    Standard Grant
Workshop on Geometric Group Theory
几何群论研讨会
  • 批准号:
    1004774
  • 财政年份:
    2010
  • 资助金额:
    $ 3.5万
  • 项目类别:
    Standard Grant

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