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

量子和低维拓扑的进展；

• 批准号: 1548167
• 负责人: Carmen Caprau
• 金额: $ 3.48万
• 依托单位: California State University-Fresno Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1548167&HistoricalAwards=false
• 关键词: Advances; Quantum; Low; Dimensional; Topology

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/.

会议“在量子和低维拓扑的进展”将在爱荷华州的大学在2016年3月11日至13日举行。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，促进各级数学家之间形成新的合作社区，涉及量子和低维拓扑的不同学科;（2）激励和推进量子和低维拓扑领域的变革性研究;（3）让新的博士生参与进来。获奖者，研究生和数学家从代表性不足的群体在这一活跃的研究领域。它也将允许领先的研究人员传播他们的想法，以更大的观众。本次会议将集中在量子不变量的结和三流形和主题连接到这些。这些不变量具有丰富的结构，除了量子群，还涉及统计力学，量子场论和仿射李代数。演讲者一直致力于A-多项式，字符簇的绞链模块量化，绞链代数，分类不变量，以及其他由纽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的兴趣激增。未来还有许多新的联系需要探索。会议将吸引许多研究人员在量子和低维拓扑结构，及其影响，并将是一个场所的多样性和参与的广度，不仅由个人，而且由机构。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来展示他们的工作。会议网站将位于https://sites.google.com/site/advquantlowstop2016/。