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IMS PROGRAM ON GEOMETRY, TOPOLOGY AND DYNAMICS OF CHARACTER VARIETIES: SUMMER SCHOOL, WORKSHOP AND CONFERENCE

IMS PROGRAM ON GEOMETRY, TOPOLOGY AND DYNAMICS OF CHARACTER VARIETIES: SUMMER SCHOOL, WORKSHOP AND CONFERENCE
IMS 人物几何、拓扑和动力学项目:暑期学校、研讨会和会议
批准号:
0965849
负责人:
William Goldman
金额:
$4.68万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2010
资助国家:
美国
项目状态:
已结题
起止时间:
2010-04-15 至 2011-03-31

项目摘要

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中文摘要
翻译
字符品种在于汇合的许多重要领域的数学,包括代数几何,双曲几何和三维拓扑结构,克莱因集团,Teichmuller理论,动力系统,规范理论和数论。他们的研究揭示了这些领域之间许多深刻而丰富的联系。一些研究人员开发的软件对研究这些问题很有用。 参与者还将受益于在计划期间与计算机专家进行互动和实验的机会。该计划汇集了来自不同背景的领先专家,奠定基础,探索相互联系,报告最新发展并绘制新方向。 此外,研究生和年轻的研究人员将接触到这个领域。 这次会议将汇集来自世界各地不同但相关领域的研究人员。研究生和博士后特别将受益于暑期学校提供的迷你课程。在澳大拉西亚地区工作的研究人员,特别是日本、中国、韩国、印度、新加坡、澳大利亚和新西兰的研究人员将有机会与欧洲和美洲的同行互动。
英文摘要
Character varieties lie at the confluence of many important areas of mathematics including algebraic geometry, hyperbolic geometry and three dimensional topology, Kleinian groups, Teichmuller theory, dynamical systems, gauge theory, and number theory. Their study reveals many deep and rich connections between these fields. Software developed by some of the investigators has been useful in studying these problems. Participants will also profit from the opportunity to interact and experiment with computer experts during the program.This program brings together leading experts from these different backgrounds to lay the foundations, explore inter-connections, report recent developments and to chart new directions. Furthermore graduate students and young researchers will be exposed to this field. This meeting will bring together researchers in diverse, but related areas, from all over the world. Graduate students and postdocs especially will benefit from the minicourses being offered in the summer school. Researchers working in the Australasia region, especially Japan, China, Korea, India, Singapore, Australia and New Zealand will have a chance to interact with their counterparts in Europe and America.
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会议论文
Dynamics and the Classification of Geometries on Manifolds
  • 批准号:
    2203493
  • 项目类别:
    Standard Grant
  • 资助金额:
    $35.0万
  • 财政年份:
    2022
  • 负责人:
    William Goldman
  • 依托单位:
Topology and Dynamics of Geometric Structures
  • 批准号:
    1709791
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $43.29万
  • 财政年份:
    2017
  • 负责人:
    William Goldman
  • 依托单位:
GEOMETRIC STRUCTURES AND SURFACES
  • 批准号:
    1406281
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $38.26万
  • 财政年份:
    2014
  • 负责人:
    William Goldman
  • 依托单位:
International Centre for Theoretical Sciences, Bangalore, India
  • 批准号:
    1261422
  • 项目类别:
    Standard Grant
  • 资助金额:
    $3.55万
  • 财政年份:
    2012
  • 负责人:
    William Goldman
  • 依托单位:
海外基金