Advances in Quantum and Low-Dimensional Topology; March 2016; University of Iowa

《量子与低维拓扑学进展》会议将于2016年3月11-13日在爱荷华大学举行。该奖项为与会者提供旅行支持，重点是资助初级研究人员、学生、来自代表性不足群体的数学家以及其他没有自己资金来源的活跃研究人员。会议的目标是(1)提供一个环境，促进在涉及量子和低维拓扑学的各级和不同学科的数学家之间形成新的合作社区；(2)激励和推进量子和低维拓扑学领域的变革性研究；以及(3)在这一活跃的研究领域吸收新的博士获得者、研究生和来自未被充分代表的群体的数学家。它还将允许领先的研究人员将他们的想法传播给更多的观众。这次会议将集中讨论纽结和三维流形的量子不变量以及与之相关的主题。这些不变量具有丰富的结构，除了量子群外，还与统计力学、量子场论和仿射李代数有关。演讲者一直致力于A多项式、特征簇的skein模量化、skein代数、范畴化不变量以及其他受到纽结理论启发的代数和组合主题的研究。近年来，人们对这些专题以及它们的应用和对科学调查其他领域的潜在影响的兴趣激增。未来还有许多新的联系需要探索。这次会议将吸引许多从事量子和低维拓扑学及其分支工作的研究人员，并将成为个人和机构参与的多样性和广度的场所。该计划将为研究生、博士后和其他年轻科学家提供充分的机会介绍他们的工作。会议网站将位于https://sites.google.com/site/advquantlowstop2016/.

The conference "Advances in Quantum and Low-Dimensional Topology" will be held at the University of Iowa in March 11-13, 2016. This award provides travel support for conference participants with a focus on funding junior investigators, students, mathematicians from underrepresented groups, and other active researchers without their own sources of funding. The goals of the conference are to (1) provide an environment fostering formation of new collaborative communities between mathematicians at all levels and in varying disciplines that touch on quantum and low-dimensional topology; (2) to energize and advance transformative research in the areas of quantum and low-dimensional topology; and (3) involve new Ph.D. recipients, graduate students, and mathematicians from underrepresented groups in this active research area. It will also allow leading researchers to disseminate their ideas to a larger audience.This conference will focus on quantum invariants for knots and three-manifolds and topics connected to these. These invariants possess a rich structure and, in addition to quantum groups, relate to statistical mechanics, quantum field theory, and affine Lie algebras. Presenters have been working on the A-polynomial, skein module quantizations of character varieties, skein algebras, categorified invariants, and other algebraic and combinatorial themes motivated by knot theory. In recent years there has been an explosion of interest in these topics as well as their applications and potential impact on other areas of scientific investigations. There are many new connections to explore in the future. The conference will attract many researchers working in quantum and low-dimensional topology, and their ramifications, and will be a venue for diversity and breadth of participation not only by individuals but also by institutions. The program will provide ample opportunity for graduate students, postdocs, and other young scientists to present their work.The conference website will be located at https://sites.google.com/site/advquantlowstop2016/.