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From Subfactors to Quantum Topology

From Subfactors to Quantum Topology
从子因子到量子拓扑
批准号:
2208246
负责人:
Thang Le
金额:
$3.06万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2022
资助国家:
美国
项目状态:
已结题
起止时间:
2022-06-01 至 2023-05-31

项目摘要

项目成果

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中文摘要
翻译
《从子因子到量子拓扑学》会议将于2022年6月27日至7月1日在瑞士日内瓦举行。这些主题将涵盖低维拓扑中的量子不变量,子因子理论,以及它们与数学和理论物理的许多分支的联系。会议将由顶尖专家以及职业生涯早期的数学家进行演讲。许多讲座是面向广大听众的调查讲座,适合研究生和年轻数学家。该奖项为美国数学家提供部分旅行支持,特别是那些处于职业生涯早期阶段的数学家。会议将讨论量子不变量、拓扑量子场论、Khovanov和Heegaard Floer同调、体积、AJ、斜率和纽结箭图猜想、子因子和平面代数等主题。它将为分享相关领域的新成果提供场所;它将加强全球研究专家之间的合作和交流;它将向研究人员,特别是学生和职业早期研究人员介绍当前研究的重要领域。会议网站ishttps://www.nccr-swissmap.ch/news-and-events/events/subfactors-quantum-topology-memory-vaughan-jonesThis奖反映了美国国家科学基金会的法定使命,并通过使用基金会的智力优势和更广泛的影响审查标准进行评估,被认为值得支持。
英文摘要
The conference “From Subfactors to Quantum Topology” will be held in Geneva, Switzerland, June 27 - July 1, 2022. The topics will cover quantum invariants in low-dimensional topology, subfactor theory, and their connections to many branches of mathematics and theoretical physics. The conference will consist of talks by leading experts as well as early-career mathematicians. Many talks are survey talks directed to a wide audience and suitable for graduate students and young mathematicians. This award provides partial travel support to US-based mathematicians, particularly those in the early stages of their careers. The conference will address topics on quantum invariants, topological quantum field theories, Khovanov and Heegaard Floer homology, the volume, AJ, slope, and knot-quiver conjectures, subfactors, and planar algebras,. It will provide a venue for sharing new results in the related fields; it will increase collaboration and communication among research experts globally; and it will introduce researchers, especially students and early career researchers, to important areas of current research. The conference website ishttps://www.nccr-swissmap.ch/news-and-events/events/subfactors-quantum-topology-memory-vaughan-jonesThis 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.
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会议论文
The Jones Polynomial and Hyperbolic Geometry of Surfaces
  • 批准号:
    2203255
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $26.39万
  • 财政年份:
    2022
  • 负责人:
    Thang Le
  • 依托单位:
Quantum Topology and Hyperbolic Geometry
  • 批准号:
    1912700
  • 项目类别:
    Standard Grant
  • 资助金额:
    $4.35万
  • 财政年份:
    2019
  • 负责人:
    Thang Le
  • 依托单位:
The Geometry and Topology of the Jones Polynomial
  • 批准号:
    1811114
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $44.0万
  • 财政年份:
    2018
  • 负责人:
    Thang Le
  • 依托单位:
Swiss Knots 2011: Knot Theory and Algebra
  • 批准号:
    1105703
  • 项目类别:
    Standard Grant
  • 资助金额:
    $2.67万
  • 财政年份:
    2011
  • 负责人:
    Thang Le
  • 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: