纽结理论是数学中的拓扑学特别是低维拓扑的重要分支,与代数几何、组合拓扑以及量子代数等领域有天然的内在联系。该领域诞生了多个菲尔茨奖。这方面国内从纯数学角度出发的学术研讨会和讲习班不少。
但另一方面,纽结理论与物理中的经典场论和量子场论结合起来,在物理、生物等学科中的应用则更加丰富。从早期宇宙的宇宙弦物理,到普通流体、磁流体(等离子体)、量子超流体(玻色-爱因斯坦凝聚体)中的缠绕涡旋线管和磁通管,到几何光束中的光拓扑缺陷,再到粒子物理中的夸克禁闭,以及生物病毒壳体重组中的DNA节链,处处都有纽结场论的用武之地。国际上这方面是研究热点,相关的研讨会和讲习班很受重视;但是在国内这一领域的学术会议却并不多见。有鉴于此,我们特别举办这次学术活动。目的是推动该领域的研究在国内的发展与繁荣,希望能够促进数学、物理、生物等学科间的交叉融合,方法互通。
本次活动共邀请到7位国际权威专家,分别讲解7个专题。模式是“暑期学校+学术论坛”:
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Scope
Knot theory is an important branch of low-dimensional topology, with deep connections in algebraic geometry, combinatorics, quantum algebra and other areas of pure and applied mathematics. Several Fields medals have been awarded to this particular research area and various academic conferences and colloquia have been held in China in the past.
In recent years applications to physics, biology, chemistry and other fields in classical and quantum field theory have become increasingly important leading to new discoveries in cosmology, plasma physics, solar physics, superfluid turbulence, geometric optics, phase defects, magnetized systems, DNA biology and quark confinement. Physical knot theory is now at the cutting edge of current research in mathematical physics and applied mathematics, and many colloquia and workshops have been held worldwide, but not in China. In this regard the proposed School + Workshop dedicated to modern advances in topological classical field theory with applications to fluid mechanics, magneto-hydrodynamics, geometric optics and defects in superfluids and condensates to be held at the Beijing University of Technology (BJUT) will be the first international event of this kind.
The School will host 7 world-class international experts in the field, who will deliver lectures and problem classes to an audience of local and international young researchers and post-docs from China and abroad, with the aim to promote an interdisciplinary approach to innovative and promising new lines of contemporary research. The School will be organized during a 10-day period during which a two-day international workshop will take place, giving the opportunity to specialists from China and the rest of the world to meet and present new results.
Date & Venue
Official Email: bjut_itp@sina.com
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