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

该NSF奖项为美国参加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题为“2016年希腊的结”的关于结、低维拓扑和应用的国际会议提供部分支持。 这个跨学科的会议将使方法和思想的交流，以及在结理论和低维拓扑学的广泛领域的基础研究问题的探索，从理论到应用到生命和物理科学，如生物学，化学和物理学，以及工程。 它将为跨领域和几代研究人员提供高质量的互动机会，从研究生到高级科学家。特别鼓励在这些领域工作的研究生和新博士生参与。 该项目将使大约20名优秀的美国年轻研究人员参与会议领域，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自己的努力成果。纽结理论是拓扑学的核心领域，与理论和应用数学的许多领域有着重要的相互作用。 Knots in Hellas 2016汇集了来自整个研究领域的研究人员。 这个项目将使至少20名优秀的美国研究生接触到与他们兴趣相关的前沿研究。会议将以全体讲座，研究会议和辅导研讨会为特色，为研究生和年轻参与者提供重点研究介绍。重点课题包括结和环的历史和当代不变量以及相关课题，如虚结、拓扑量子场论、绞链模和代数、量子点及其同调、结代数、群的辫和可序性、双曲结和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，以促进跨学科的讨论和研究互动。这个国际跨学科会议的计划，规模和地点是理想的，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，从研究生到最高级的研究人员。会议网址：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/