Conference on low-dimensional topology and geometry

低维拓扑与几何会议

• 批准号: 1707524
• 负责人: Spencer Dowdall
• 金额: $ 3.5万
• 依托单位: Vanderbilt University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-04-15 至 2018-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1707524&HistoricalAwards=false
• 关键词: Conference; low; dimensional; topology; geometry

This National Science Foundation award provides travel support for speakers and participants in the Conference on Low-dimensional Topology and Geometry held at Vanderbilt University from May 15 to May 19, 2017. Topology and geometry are central areas of mathematics that have been the focus of active research for centuries. Topology concerns the mathematical properties of spaces ranging from the physical, like the surface of a doughnut, to the abstract, like the space of configurations of robots in a factory or the space of functions that satisfy a differential equation. Geometry concerns abstract or concrete notions distance or length, such as the amount of energy to move between two configurations of robots. Topology and geometry enjoy particularly rich interactions in low dimensions, and these connections have been a source of profound discoveries in both fields. The main objective of the conference is to bring together leading experts who have made substantial contributions in low-dimensional topology and geometry and to provide a platform to present recent results and propose future directions of research. The conference is organized in conjunction with the 32nd Shanks Lecture, which will be delivered by Professor Ian Agol (University of California, Berkeley). This award provides opportunities for mathematicians from underrepresented groups and researchers that are early in their career or lack other sources of travel support to attend and participate in the conference.The conference will focus on important developments in low-dimensional topology and geometry, with emphasis on the powerful negative curvature and combinatorial techniques that have driven many recent advances. Topics will include, but are not limited to, hyperbolic 3-manifolds, moduli spaces of Riemann surfaces, mapping class groups, the geometry and topology of curves on surfaces, surface bundles, Gromov-hyperbolic simplicial complexes, and CAT(0) cube complexes. The activities will include nineteen keynote talks and the Shanks lecture, with ample time for questions and discussion. The combination of topics and speakers will attract numerous participants and will afford students and recent PhDs an excellent opportunity to interact with and learn from leaders in these fields. More information is available at the conference website: https://my.vanderbilt.edu/shanks2017/

该国家科学基金会奖为2017年5月15日至5月19日在范德比尔特大学举行的低维拓扑和几何会议的演讲者和参与者提供旅行支持。拓扑学和几何学是数学的核心领域，几个世纪以来一直是活跃研究的焦点。拓扑学涉及空间的数学性质，从物理的，如甜甜圈的表面，到抽象的，如工厂中机器人的结构空间或满足微分方程的函数空间。几何涉及抽象或具体的概念，距离或长度，例如在两个机器人配置之间移动的能量量。拓扑学和几何学在低维空间中具有特别丰富的相互作用，这些联系是这两个领域深刻发现的源泉。会议的主要目的是汇集在低维拓扑和几何领域做出重大贡献的领先专家，并提供一个展示最新成果和提出未来研究方向的平台。会议与第32届香克斯讲座同时举办，讲座将由加州大学伯克利分校的Ian Agol教授主讲。该奖项为来自代表性不足的群体的数学家和处于职业生涯早期或缺乏其他旅行支持来源的研究人员提供参加和参加会议的机会。会议将集中讨论低维拓扑和几何的重要发展，重点是强大的负曲率和组合技术，这些技术推动了许多最近的进展。主题将包括但不限于：双曲3流形、黎曼曲面的模空间、映射类群、曲面上曲线的几何和拓扑、曲面束、gromov -双曲简单复形和CAT(0)立方复形。活动将包括19个主题演讲和Shanks讲座，有充足的提问和讨论时间。主题和演讲者的结合将吸引众多参与者，并将为学生和最近的博士提供与这些领域的领导者互动和学习的绝佳机会。更多信息请访问会议网站：https://my.vanderbilt.edu/shanks2017/