Knotting Mathematics and Art: Conference in Low Dimensional Topology and Mathematical Art

数学与艺术的结：低维拓扑与数学艺术会议

• 批准号: 0726492
• 负责人: Masahiko Saito
• 金额: $ 2.24万
• 依托单位: University of South Florida
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-09-01 至 2008-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0726492&HistoricalAwards=false
• 关键词: Knotting; Mathematics; Art; Conference; Low

One of the outcomes from the explosion of intellectual activities in knot theory that followed the discovery of Jones polynomials is the area of quantum topology. This area of low dimensional topology has made a significant development recently through categorifications of the quantum invariants such as Khovanov and Ozvath-Szabo theories. The main motivation for the planned conference: Knotting Mathematics and Art, Conference in Low Dimensional Topology and Mathematical Art, is to make advances in this research area. bringing in leading researchers and graduate students internationally. The highly visual aspects of low dimensional topology makes it possible to bring together wide range of speakers including mathematical artists. Hence, another goal of the conference is to bring together mathematicians and artists to promote their interactions and public awareness.A knot is a circle situated in space. Knot theory studies such knotted circles, and has provided models and applications to DNA theory, molecular configurations, and physics. Knot diagrams drawn on a piece of paper, and numerical quantities that are easily computable from diagrams, have been extensively used in knot theory. Knot theory has been one of the most active research areas in mathematics in recent decades, and continues to do so today. Due to its graphical subject matters and methods, this area of mathematics also attracts artists, in particular mathematical artists. Indeed, geometric structures can be found in variety of art works in general. The planned conference: Knotting Mathematics and Art, Conference in Low Dimensional Topology and Mathematical Art, will not only bring together top research mathematicians to an international research conference and make further advances in the subject, but also bring together mathematical artists to promote collaboration, with wide participation from general public interested in art and mathematics.

结合琼斯多项式后，结理论中智力活动爆炸的结果之一是量子拓扑的领域。 低维拓扑的该领域最近通过对Khovanov和Ozvath-Szabo理论等量子不变的分类进行了分类。 计划中的会议的主要动机：小数学和艺术，低维拓扑和数学艺术的会议是在该研究领域取得进步。在国际上吸引领先的研究人员和研究生。 低维拓扑的高度视觉方面使包括数学艺术家在内的广泛扬声器成为可能。因此，会议的另一个目标是将数学家和艺术家汇集在一起​​，以促进他们的互动和公众意识。一个结是一个位于太空中的圈子。 结理论研究了这种打结的圆圈，并为DNA理论，分子构型和物理学提供了模型和应用。在一张纸上绘制的结图，并且很容易从图表中计算的数量数量已在结理论中广泛使用。 近几十年来，结理论一直是数学研究领域最活跃的研究领域之一，并且今天继续这样做。由于其图形主题和方法，该数学领域也吸引了艺术家，特别是数学艺术家。实际上，几何结构通常可以在各种艺术作品中找到。计划中的会议：打结数学和艺术，低维拓扑和数学艺术的会议，不仅会将顶级研究数学家召集到国际研究会议上，并在该主题上取得进一步的进步，而且还将数学艺术家聚集在一起，以促进合作，并与对艺术和数学感兴趣的公众广泛参与。