Conference Proposal: Symmetries in Mathematics and Physics

首席研究员：Etingof，Pavel I.建议编号：DMS-0750598机构：麻省理工学院标题：会议建议：数学和物理中的对称性为纪念维克多·G·卡克(麻省理工学院)教授65岁生日而组织的为期一周的会议“数学和物理中的对称性”旨在通过“对称性”的概念介绍数学和物理学中一些最重要和最新的发展，它包含了描述物理问题所涉及的主要代数思想。例如，(能量、动量、电荷)守恒定律通常是作为某些物理系统在适当的连续对称性下不变的结果而得到的；李超代数的表示理论描述了超对称和超对称对象的概念，如基本粒子和相互作用。物理系统的量子化可以用相应的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是受邀的演讲者之一。

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.