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: University of Wisconsin-Madison
• 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
• 起止时间: 2015-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1462433&HistoricalAwards=false
• 关键词: Stratified; spaces; geometric; computational; topology

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

关于“几何和计算拓扑学与物理学中的分层空间”的国际会议将于2015年3月30日至4月2日在威斯康星州麦迪逊的威斯康星州大学举行。该奖项为参与者提供旅行支持。该活动将汇集研究人员和学生感兴趣的奇异代数簇的拓扑研究，拓扑数据分析，以及结理论，代数几何和数学物理之间的相互作用。会议，旨在传播最新的发展，也将有一个重要的教育组成部分，具有介绍性讲座的水平，研究生，以及讨论会，以加强各研究团体之间的联系代表。此外，会议还将为初级研究人员、博士后研究员和研究生提供一个机会，拓宽他们的视野，并与这些领域的高级成员建立研究联系。会议计划将包括以下主题，每个主题都是由最新和基础性进展驱动的：（1）余维2嵌入理论和超曲面奇点;（2）分层映射的拓扑;（3）超曲面奇异性;（4）超曲面奇异性。（3）奇异点的霍奇理论方面;（4）奇异簇的特征类;（5）数学物理中的奇异空间;（6）计算拓扑中的分层空间。拟议的主题交叉了从纯数学到更多应用领域的广泛研究工作，因此与会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这样一个机会变得越来越重要。有关会议的更多详细信息，请参阅：http://www.math.wisc.edu/~maxim/Sing15.html