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

随着琼斯多项式的发现，结理论领域的智力活动爆发，其成果之一就是量子拓扑学领域的发展。近年来，通过对量子不变量的分类，如Khovanov和Ozvath-Szabo理论，低维拓扑领域取得了重大进展。本次会议的主要目的是为了在这一研究领域取得进展。本次会议的主题是：打结数学与艺术，低维拓扑与数学艺术。引进国际领先的研究人员和研究生。低维拓扑的高度可视化方面使得包括数学艺术家在内的广泛演讲者聚集在一起成为可能。因此，会议的另一个目标是将数学家和艺术家聚集在一起，促进他们的互动和公众意识。结是一个位于空间中的圆。结理论研究这种打结的圆圈，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，以及易于从图中计算的数值，已经广泛应用于结理论。近几十年来，结理论一直是数学中最活跃的研究领域之一，并且一直持续到今天。由于其图形主题和方法，这一数学领域也吸引了艺术家，特别是数学艺术家。事实上，几何结构可以在各种各样的艺术作品中找到。计划召开的会议：打结数学与艺术，低维拓扑与数学艺术会议，不仅将汇集顶尖的研究数学家参加国际研究会议，并在该主题上取得进一步的进展，而且还将汇集数学艺术家促进合作，吸引对艺术和数学感兴趣的公众广泛参与。

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.