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Stratified spaces in geometric and computational topology and physics

Stratified spaces in geometric and computational topology and physics
几何和计算拓扑以及物理学中的分层空间
批准号:
1462433
负责人:
Laurentiu Maxim
金额:
$3.8万
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:
2015-01-01 至 2017-12-31

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中文摘要
翻译
2015年3月30日至4月2日,位于威斯康星麦迪逊的威斯康星大学将举行一次关于“几何和计算拓扑学与物理学中的分层空间”的国际会议。该奖项为参赛者的旅行提供支持。此次活动将汇聚对奇异代数簇的拓扑研究、拓扑数据分析以及纽结理论、代数几何和数学物理之间的相互作用感兴趣的研究人员和学生。这次会议旨在传播最近的发展,还将有一个重要的教育部分,包括研究生可以参加的介绍性讲座,以及加强与会各研究小组之间联系的讨论会。此外,会议旨在为初级研究人员、博士后助理和研究生提供一个机会,以拓宽他们的视野,并与这些领域的更多资深成员建立研究联系。会议计划将包括以下主题,每个主题都由最近和基本的进展推动:(1)余维2嵌入理论和超曲面奇点;(2)分层映射的拓扑;(3)奇点的Hodge理论方面;(4)奇异变种的特征类;(5)数学物理中的奇异空间;(6)计算拓扑中的分层空间。拟议的主题涉及从纯数学到更多应用领域的广泛研究努力,因此会议参与者将反映数学学科的广泛横截面。近几十年来,研究奇异分层空间的基本工具已经扩展到无数的数学领域,为各种相关专业的专家提供一个像这次会议这样的互动机会变得越来越重要。欲了解此次会议的更多详情,请访问:http://www.math.wisc.edu/~maxim/Sing15.html
英文摘要
An international conference on "Stratified spaces in geometric and computational topology and physics" will be held at the University of Wisconsin in Madison, WI, during March 30 - April 2, 2015. This award provides support for participant travel. The event will bring together researchers and students interested in the topological study of singular algebraic varieties, topological data analysis, and interactions between knot theory, algebraic geometry and mathematical physics. Th conference, intended to disseminate recent developments, will also have a significant educational component, featuring introductory lectures at a level accessible to graduate students, as well as discussion sessions to strengthen connections among the various research groups represented. Moreover, the conference aims to provide an opportunity for junior researchers, postdoctoral associates, and graduate students to broaden their perspective and create research ties with more senior members in these fields.The conference program will include the following topics, each driven by recent and fundamental advances: (1) Codimension two embedding theory and hypersurface singularities; (2) Topology of stratified maps; (3) Hodge-theoretic aspects of singularities; (4) Characteristic classes of singular varieties; (5) Singular spaces in mathematical physics; (6) Stratified spaces in computational topology. The proposed topics intersect a broad range of research endeavors in fields ranging from pure mathematics to more applied areas, thus conference participants will reflect a broad cross-section of mathematical disciplines. In recent decades, the basic tools involved in the study of singular stratified spaces have branched out into a myriad of mathematical territories, and it increasingly becomes important to provide an opportunity such as this conference for experts in the various related specializations to interact. For more details about the conference, please see: http://www.math.wisc.edu/~maxim/Sing15.html
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会议论文
Conference: Algebraic and topological interplay of algebraic varieties
  • 批准号:
    2304894
  • 项目类别:
    Standard Grant
  • 资助金额:
    $2.0万
  • 财政年份:
    2023
  • 负责人:
    Laurentiu Maxim
  • 依托单位:
Non-Isolated Singularities and Derived Geometry
  • 批准号:
    1904103
  • 项目类别:
    Standard Grant
  • 资助金额:
    $2.0万
  • 财政年份:
    2019
  • 负责人:
    Laurentiu Maxim
  • 依托单位:
Singular Spaces in Geometry and Topology
  • 批准号:
    1304999
  • 项目类别:
    Standard Grant
  • 资助金额:
    $18.16万
  • 财政年份:
    2013
  • 负责人:
    Laurentiu Maxim
  • 依托单位:
International Conference on Singularity Theory and Applications
  • 批准号:
    1104329
  • 项目类别:
    Standard Grant
  • 资助金额:
    $2.92万
  • 财政年份:
    2011
  • 负责人:
    Laurentiu Maxim
  • 依托单位:
国内基金
海外基金
Bergman空间上的Toeplitz算子及Hankel算子的性质
  • 批准号:
    11126061
  • 项目类别:
    数学天元基金项目
  • 资助金额:
    3.0万元
  • 批准年份:
    2011
  • 负责人:
    杨君
  • 依托单位:
分形上的分析及其应用
  • 批准号:
    10471150
  • 项目类别:
    面上项目
  • 资助金额:
    15.0万元
  • 批准年份:
    2004
  • 负责人:
    林勇
  • 依托单位: