Quantum Topology in Vietnam

[摘要]奖项：dms -0715254首席研究员：Stavros Garoufalidis， Thang T. Q. le该奖项为将于2007年8月在越南河内举行的国际量子拓扑会议的参与者提供部分支持。会议旨在培养量子拓扑学的初级研究人员，讨论该领域的新发展，并汇集几何、拓扑、代数和量子场论的不同观点。会议的科学主题包括结点和链路的量子不变量、Heegard Floer同调、Khovanov同调、量子不变量的渐近陈述（包括广泛研究的体积猜想）和三流形的几何拓扑。量子拓扑学是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的产物。这项工作引入了许多新的代数和组合装置来描述和尝试区分低维空间，例如三维欧几里得空间中打结曲线的补。本次会议将汇集量子拓扑的新旧方面，以增加我们对这些工具的理解，并为该领域的研究发现新的问题。更多信息请参见会议网站：https://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.