Quantum Topology in Vietnam

摘要奖：DMS-0715254主要研究者：Stavros Garoufaldine，Thang T. Q. LeThis award provides partial supporting for participants in the International Conference on Quantum Topology to be held in河内，Vietnam，in August 2007. 该会议旨在教育初级研究人员在量子拓扑，讨论在该领域的新发展，并汇集了几何，拓扑，代数和量子场论的不同观点。 这次会议的科学主题包括：纽结和链环的量子不变量、Heegard Floer同调、Khovanov同调、量子不变量的渐近性陈述（包括广泛研究的体积猜想）以及三维流形的几何拓扑。量子拓扑是由20世纪80年代和90年代物理学家和数学家关于量子场论与几何关系的思想和定理发展而来的。 这项工作引入了一些新的代数和组合设备来描述和尝试区分低维空间，如三维欧氏空间中的打结曲线的补充。 这次会议将汇集量子拓扑学的新旧方面，以增加我们对这些工具的理解，并揭示该领域研究的新问题。 更多信息请访问会议网站http：www.math.gatech.edu/~stavros/vietnam.html。

AbstractAward: DMS-0715254Principal Investigator: Stavros Garoufalidis, Thang T. Q. LeThis award provides partial support for participants in theInternational Conference on Quantum Topology to be held in HaNoi, Vietnam, in August 2007. The conference aims to educatejunior researchers in Quantum Topology, discuss new developmentsin the area, and bring together different points of view ofGeometry, Topology, Algebra and Quantum Field Theory. Scientificthemes of the conference include quantum invariants of knots andlinks, Heegard Floer homology, Khovanov homology, asymptoticstatements for quantum invariants (including the widely--studiedVolume Conjecture), and geometric topology of three--manifolds.Quantum topology grew out of ideas and theorems of physicists andmathematicians in the 1980s and 1990s on relations betweenquantum field theories and geometry. That work introduced anumber of new algebraic and combinatorial devices to describe andattempt to distinguish low-dimensional spaces such as thecomplement of a knotted curve in three-dimensional Euclideanspace. This conference will bring together old and new aspectsof quantum topology to add to our understanding of these toolsand to uncover new problems for research in the field. See theconference web site athttp://www.math.gatech.edu/~stavros/vietnam.html for moreinformation.