Conference Proposal: Symmetries in Mathematics and Physics

摘要首席研究员：Etingof， Pavel i .提案号：DMS - 0750598机构：麻省理工学院标题：会议提案：数学与物理中的对称为纪念Victor G. Kac教授（麻省理工学院）65岁生日而组织的为期一周的“数学与物理中的对称”会议，旨在通过“对称”的概念介绍数学和物理中一些最重要和最新的发展，其中包括描述物理问题所涉及的主要代数思想。例如，（能量、动量、电荷）守恒定律通常是某些物理系统在适当的连续对称性下不变性的结果；李超代数的表示理论描述了超对称和超对称物体的概念，如基本粒子和相互作用。物理系统的量子化可以用相应代数结构和表示的量子化来解释。研究和发展上述理论中心思想的科学家们也被邀请发言。

AbstractPrincipal Investigator: Etingof, Pavel I.Proposal Number: DMS - 0750598 Institution: Massachusetts Institute of Technology Title: Conference Proposal: Symmetries in Mathematics and PhysicsThe one-week conference "Symmetries in Mathematics and Physics", which is being organized to honor the 65th birthday of Prof. Victor G. Kac (MIT), intends to present some of the most important and recent developments in Mathematics and Physics through the concept of "symmetry", which encompasses the major algebraic ideas involved in the description of physical problems.For instance, conservation (of energy, momentum, charge) laws are often obtained as consequences of the invariance of some physical system under suitable continuous symmetries; the representation theory of Lie superalgebras describes the concept of supersymmetry and supersymmetric objects, such as fundamental particles and interactions. The quantization of physical systems can be interpreted in terms of quantization of the corresponding algebraic structures and representations.Scientists who studied and developed the central ideas of the above theories are among the invited speakers.