International Conference on Knots, Low-Dimensional Topology, and Applications

美国国家科学基金会的这一奖项将为美国参加于2016年7月17日至7月23日在希腊古奥林匹亚国际奥林匹克学院举行的“绳结、低维拓扑和应用”国际会议提供部分支持。这次跨学科的会议将使结理论和低维拓扑的广泛领域的方法和思想的交流，以及基础研究问题的探索，从理论到应用到生命和物理科学，如生物，化学和物理，以及工程。它将为跨领域和几代研究人员（从研究生到资深科学家）提供高质量的互动机会。特别鼓励在这些领域工作的研究生和新博士参加。该项目将使大约20名杰出的美国青年研究人员能够参与会议领域，否则他们可能无法从与他们兴趣相关的前沿研究中受益，或者能够在国际舞台上展示他们自己的努力成果。结理论是拓扑学的一个核心领域，它与理论和应用数学的许多领域有重要的相互作用。2016年的希腊节汇集了来自这类研究的各个领域的研究人员。该项目将使至少20名优秀的美国研究生接触到与其兴趣相关的前沿研究。会议将以全体演讲、研究会议和指导研讨会为特色，为研究生和年轻参与者提供重点研究介绍。重点主题包括广泛的历史和当代结和链接的不变量以及相关主题，如虚拟结，拓扑量子场论，绞结模块和代数，纠缠及其同调，结代数；辫状结构与群的有序性；双曲结点与三维流形的几何结构物理结应用于流体流动，聚合物和生物物理学，DNA酶机制，蛋白质结构和功能，以及生物化学。该计划将组织以促进跨学科讨论和研究互动。这个国际跨学科会议的计划，规模和位置是理想的，可以探索基本问题，交流思想，方法和当代和发展中的研究问题，并提供跨领域和几代研究人员的高质量互动，从研究生到最高级研究人员。会议网站是：http://www.math.ntua.gr/~sofia/KnotsinHellas2016/

This NSF award provides partial support for U.S. participation in the international conference on knots, low-dimensional topology and applications, titled "Knots in Hellas 2016," to be held at the International Olympic Academy, Ancient Olympia, Greece, from July 17 through July 23, 2016. This cross-disciplinary conference will enable the exchange of methods and ideas as well as the exploration of fundamental research problems in the wide fields of knot theory and low-dimensional topology, from theory to applications to the life and physical sciences such as biology, chemistry and physics, as well as to engineering. It will provide opportunity for high quality interactions across fields and for generations of researchers, from graduate students to senior scientists. Graduate students and new PhD's working in these fields are especially encouraged to participate. This project will enable the participation of roughly twenty outstanding US based young researchers in the conference fields that might not otherwise be able to benefit from this exposure to cutting edge research relevant to their interests or be able to present the results of their own efforts on an international stage.Knot theory is a core area of topology that interacts significantly with many fields across theoretical and applied mathematics. Knots in Hellas 2016 brings together researchers from the whole spectrum of such research. This project will expose at least twenty excellent US based graduate students to cutting edge research relevant to their interests. The conference will feature plenary lectures, research sessions, and tutorial workshops providing focused research introduction for graduate students and young participants. The focal topics include the wide range of historical and contemporary invariants of knots and links and related topics such as virtual knots, topological quantum field theory, skein modules and algebras, quandles and their homology, knot algebras; braids and orderability of groups; hyperbolic knots and geometric structures of three dimensional manifolds; physical knots with applications to fluid flows, polymer and biophysics, DNA enzyme mechanisms, protein structure and function, and biochemistry. The program will be organized so as to facilitate inter-disciplinary discussions and research interactions. The program, size, and location of this international cross-disciplinary conference is ideal to enable exploration of fundamental problems, exchange of ideas, methods and contemporary and developing research problems, and to provide high quality interactions across fields and generations of researchers, from graduate students to the most senior researchers. The conference website is at: http://www.math.ntua.gr/~sofia/KnotsinHellas2016/