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

“量子与低维拓扑进展”会议将于2016年3月11日至13日在爱荷华大学举行。该奖项为会议参与者提供旅费支持，重点资助初级研究人员、学生、来自代表性不足群体的数学家和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的各个层次和不同学科的数学家之间形成新的协作社区；(2)激发和推进量子和低维拓扑领域的变革性研究；(3)涉及新的博士学位获得者、研究生和数学家，他们来自这个活跃的研究领域中代表性不足的群体。它还将允许领先的研究人员将他们的想法传播给更多的受众。本次会议将重点讨论结和三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。演讲者一直在研究a -多项式，特征变量的串模量化，串代数，分类不变量以及其他由结理论激发的代数和组合主题。近年来，人们对这些主题以及它们的应用和对其他科学研究领域的潜在影响产生了浓厚的兴趣。未来还有许多新的联系有待探索。该会议将吸引许多从事量子和低维拓扑及其分支的研究人员，并将成为个人和机构多样性和广度参与的场所。该项目将为研究生、博士后和其他年轻科学家提供充足的机会来展示他们的工作。会议网站将设在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/.