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US-France Cooperative Research: Discrete Groups, Representation Varieties, and CR-Geometry

US-France Cooperative Research: Discrete Groups, Representation Varieties, and CR-Geometry
美法合作研究:离散群、表示簇和 CR 几何
批准号:
0232724
负责人:
Richard Wentworth
金额:
$0.0万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2003
资助国家:
美国
项目状态:
已结题
起止时间:
2003-03-01 至 2008-02-29

项目摘要

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中文摘要
翻译
这项为期三年的美法数学合作奖包括约翰霍普金斯大学的Richard a . Wentworth和巴黎第六大学的Elisha Falbel。该项目的目标是在离散群和低维流形的几何分析领域进行集中的合作研究。他们将研究U (n)中表面群的表示,以及球形CR流形的变形理论和刚性问题。美国研究者为这次合作带来了表面群表示的几何分析方面的专业知识。这是由法国在CR流形,离散群及其变形方面的专业知识补充的。该奖项代表了美国方面向美国国家科学基金会和法国国家科学研究中心(CNRS)提交的联合提案。美国国家科学基金会将支付美国研究人员和研究生的旅费和生活费。CNRS将支持法国研究人员和学生访问美国。美国和法国的研究生将受益于国际研究方法和他们的工作在国际上的曝光。
英文摘要
0232724WentworthThis three-year award for U.S.-France collaboration in mathematics involves Richard A. Wentworth at Johns Hopkins University and Elisha Falbel at the University of Paris VI. The objective of this project is a concentrated collaborative research effort in the area of discrete groups and geometrical analysis of low dimensional manifolds. They will study representation of surface groups in U (n) and the deformation theory and rigidity issues of spherical CR manifolds. The U.S. investigator brings to this collaboration expertise in the geometrical analytic aspects of representations of surface groups. This is complemented by French expertise in CR manifolds, discrete groups and their deformations. This award represents the U.S. side of a joint proposal to the NSF and the French National Center for Scientific Research (CNRS). NSF will cover travel funds and living expenses for the U.S. investigator and graduate student. The CNRS will support the visits of the French researcher and student to the United States. U.S. and French graduate students will benefit from the international approach to research and international exposure for their work.
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Moduli Spaces of Higgs Bundles, Gauge Theory, and Related Topics
  • 批准号:
    2204346
  • 项目类别:
    Standard Grant
  • 资助金额:
    $35.0万
  • 财政年份:
    2022
  • 负责人:
    Richard Wentworth
  • 依托单位:
Moduli Spaces of Higgs Bundles, Hermitian-Yang-Mills Connections, and Related Topics
  • 批准号:
    1906403
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $34.0万
  • 财政年份:
    2019
  • 负责人:
    Richard Wentworth
  • 依托单位:
FRG: Collaborative Research: Geometric Structures on Higher Teichmuller Spaces
  • 批准号:
    1564373
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $37.01万
  • 财政年份:
    2016
  • 负责人:
    Richard Wentworth
  • 依托单位:
Geometry and Analysis of Moduli Spaces of Holomorphic Bundles
  • 批准号:
    1406513
  • 项目类别:
    Standard Grant
  • 资助金额:
    $18.97万
  • 财政年份:
    2014
  • 负责人:
    Richard Wentworth
  • 依托单位:
海外基金