The Mathematics of Quantum Theory

量子理论的数学，05/01/14-12/01/15，加州大学戴维斯分校一个关注拓扑量子场论（TQFT）和拓扑场论最新发展的国际会议将于2014年5月23日至26日在加州大学戴维斯分校举行：http://indico.cern.ch/conferenceDisplay.py? confId= 276011该活动将由领先的数学家和理论物理学家参加，并与U.C.戴维斯数学系庆祝六十年的壮观贡献数学和物理教授阿尔伯特施瓦茨。事实上，TQFT最早是由施瓦茨在20世纪70年代提出的。维滕对陈-西蒙斯TQFT的解答为量子场论与严格数学的快速联系奠定了基础，尤其是在统一弦和M理论模型的核心--拓扑弦理论的竞技场。同时，这些想法导致了深刻的进展，在数学的低维拓扑;枚举，辛和代数几何;结理论，甚至非交换几何。这次会议将是一个独特的机会，研究人员传播他们在这些领域的最新成果，以及研究生看到最高水平的科学家在行动。要了解这种类型的研究的根本重要性，可以开始考虑来自对撞机实验的最新结果。希格斯粒子的发现（以及因其预测而获得的诺贝尔奖）再次证实了量子场论在最大和最小尺度上正确地描述了我们的宇宙。公众可能会惊讶地发现，像量子场论这样重要的理论仍然不能在数学上精确定义。事实上，这个方向的主要进展是在依赖于空间和时间的整体形状（但对小的局部现象不敏感）的拓扑理论的特殊情况下。这次会议解决了我们目前理解中的这个巨大漏洞。对一般量子场论的严格数学理解将导致新的数学和物理结果的爆炸，可能会给我们所知的科学带来革命性的变化。

The Mathematics of Quantum Theory, 05/01/14-12/01/15, University of California, DavisAn international conference focusing on recent developments in topological quantum field theory (TQFT) and topological field theory will be held on May 23-26, 2014 at the University of California, Davis:http://indico.cern.ch/conferenceDisplay.py?confId=276011The event will be attended by leading mathematicians and theoretical physicists and dovetails with a U.C. Davis Department of Mathematics celebration of sixty years of spectacular contributions to mathematics and physics by Professor Albert Schwarz. Indeed TQFTs were first constructed by Schwarz in the 1970s. Witten's solution of Chern--Simons TQFTs then laid the foundation for rapid progress connecting quantum field theory to rigorous mathematics, especially in the arena of the topological string theories that lie at the heart of unified String and M-Theory models. Concurrently, these ideas have led to profound advances in the mathematics of low dimensional topology; enumerative, symplectic and algebraic geometry; knot theory and even non-commutative geometry. The conference will be a unique opportunity for researchers to disseminate their latest results in these areas as well as for graduate students to see scientists of the highest calibre in action.To understand the fundamental importance of this type of research, one can begin by considering the latest results coming from collider experiments. The discovery of the Higgs particle (and Nobel Prizes for its prediction) confirms once again that quantum field theory correctly describes our universe at the very largest and smallest scales. Members of the public might be surprised to learn that such an important theory as quantum field theory can still not be exactly defined mathematically. In fact, the main progress in this direction has been in special cases of topological theories that depend on the global shape of space and time (but are insensitive to small local phenomena). This conference addresses this gaping hole in our current understanding. A rigorous mathematical understanding of general quantum field theories will lead to an explosion of new mathematical and physical results likely to revolutionize science as we know it.