课题基金 / 基金详情

Classical and quantum hyperbolic geometry and topology

Classical and quantum hyperbolic geometry and topology
经典和量子双曲几何和拓扑
批准号:
1522850
负责人:
Ko Honda
金额:
$4.0万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2015
资助国家:
美国
项目状态:
已结题
起止时间:
2015-07-01 至 2016-06-30

项目摘要

项目成果

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中文摘要
翻译
关于经典和量子双曲几何和拓扑学的会议将于2015年7月6日至7月10日在巴黎南大(Orsay)举行。这次会议的目的是聚集来自与低维拓扑学相关的不同领域的专家,促进他们之间以及与这些领域的年轻数学家之间的互动。会议涉及以下几个领域的接口:(1)低维拓扑学;(2)流形上的几何结构,特别是双曲几何;(3)泰希米勒理论-经典的、量子的和更高的;(4)表示理论;(5)拓扑量子场论(TQFT)和量子群。在过去的40年里,这些学科之间有许多深刻的联系。这次会议的目的是通过聚集来自美国和欧洲的一群非常杰出的研究人员来进一步探索和加强这些联系,他们从事这些学科的研究或与之相关的工作。我们期待会议上强有力的研究演讲将有助于鼓励从事这些不同学科的研究人员探索共同点并开发新的研究途径。我们还期望这次会议将使研究生和早期职业数学家接触到这些领域的重要发展。欲了解更多信息,请访问会议网站:http://www.math.u-psud.fr/~paulin/Bonahon2015.html。
英文摘要
A conference on classical and quantum hyperbolic geometry and topology will be held at the Universite Paris-Sud (Orsay) from July 6 to July 10, 2015. The aim of the conference is to bring together experts from the disparate fields which are connected to low-dimensional topology and to foster interactions among them as well as with junior mathematicians in those fields.The conference is concerned with the interface of several fields:(1) low-dimensional topology;(2) geometric structures on manifolds, particularly hyperbolic geometry;(3) Teichmuller theory --- classical, quantum, and higher;(4) representation theory; and(5) topological quantum field theory (TQFT) and quantum groups.The last four decades have revealed many deep connections among these subjects. The aim of this conference is to further explore and strengthen these connections by bringing together a very distinguished group of researchers, both from the US and Europe, who are working in or at the interface of these subjects. We expect that strong research talks at the conference will help encourage the researchers working in these disparate subjects to explore common ground and develop new avenues of research. We also expect that the conference will expose graduate students and early career mathematicians to the important developments in these areas. More information is available on the conference website: http://www.math.u-psud.fr/~paulin/Bonahon2015.html
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会议论文
Higher-dimensional contact topology
Higher-dimensional Heegaard Floer homology
Higher-dimensional Heegaard Floer homology
  • 批准号:
    1406564
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $35.58万
  • 财政年份:
    2014
  • 负责人:
    Ko Honda
  • 依托单位:
Contact structures and Floer homology theories
  • 批准号:
    1105432
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $33.2万
  • 财政年份:
    2011
  • 负责人:
    Ko Honda
  • 依托单位:
国内基金
海外基金
Research on Quantum Field Theory without a Lagrangian Description
  • 批准号:
    24ZR1403900
  • 项目类别:
    省市级项目
  • 资助金额:
    --
  • 批准年份:
    2024
  • 负责人:
    SATOSHI NAWATA
  • 依托单位:
Simulation and certification of the ground state of many-body systems on quantum simulators
  • 批准号:
    --
  • 项目类别:
    --
  • 资助金额:
    40万元
  • 批准年份:
    2020
  • 负责人:
    Abolfazl Bayat
  • 依托单位:
Mapping Quantum Chromodynamics by Nuclear Collisions at High and Moderate Energies
  • 批准号:
    11875153
  • 项目类别:
    面上项目
  • 资助金额:
    60.0万元
  • 批准年份:
    2018
  • 负责人:
    MARCO RUGGIERI
  • 依托单位:
高温气化过程中煤灰矿物质演变规律的量子化学计算与实验研究
  • 批准号:
    50906055
  • 项目类别:
    青年科学基金项目
  • 资助金额:
    20.0万元
  • 批准年份:
    2009
  • 负责人:
    乌晓江
  • 依托单位: