Perspectives in Representation Theory

会议“的观点在表示理论”将是一个会议的数学家在表示理论的工作，重点是它的关系，以其他学科（特别是，拓扑，代数几何，数论和数学物理）。会议将于2012年5月12日至17日在耶鲁大学举行，以荣誉Igor Frenkel教授60岁生日。 发言者已经并将继续作出重大贡献的领域，并负责一个巨大的网络连接的代表性理论与其他领域的数学和物理。 会议的目的是介绍以下方面的进展情况：（相互关联）主题：顶点算子代数与手征代数，共形场论，（几何）Langlands程序，仿射李代数，Kac-Moody代数，量子群，晶体基和正则基，量子上同调和K-理论，几何表示理论，范畴化，高维Kac-Moody理论，可积系统，Kac-Moody簇，真实的和p-adic群的表示，以及量子规范理论。因此，这次会议将是一个机会，讨论表示论的背景下，它与许多其他学科的联系，并讨论一些最新的进展表示论，包括那些发生的技术应用在其他领域的数学和物理，包括思想从量子场论和弦理论。 进一步的细节可以在会议网站上找到http://www.math.yale.edu/frenkel60Algebra是数学中最古老的领域之一。它涵盖了从简单的代数方程和多项式到线性和抽象代数的广泛学科。对对称性的研究与代数的一个分支有关，称为“表示论”。 表示论在数学和物理的其他领域有着广泛的应用。 我们常常通过研究表征来了解我们物质宇宙的最深处的运作。 虽然表示论的起源是代数的，但现代表示论融合了几何学、组合学和范畴论（旨在组织数学结构的理论）等其他数学分支的思想。 这些与新领域的联系既增加了我们在表示论领域的知识，也开发了其思想的新应用。 会议“在代表理论的观点”将是一个聚会的一些世界领先的专家在这个令人兴奋的领域。

The conference "Perspectives in representation theory" will be a meeting of mathematicians working in representation theory, with an emphasis on its relations to other subjects (notably, topology, algebraic geometry, number theory, and mathematical physics). The conference will be held on May 12-17, 2012 at Yale University, in honor of the 60th birthday of Prof. Igor Frenkel. The speakers have made and continue to make major contributions to the field, and are responsible for a vast web of connections of representation theory with other areas of mathematics and physics. The aim of the conference is to present current progress on the following (interrelated) topics: vertex operator algebras and chiral algebras, conformal field theory, the (geometric) Langlands program, affine Lie algebras, Kac-Moody algebras, quantum groups, crystal bases and canonical bases, quantum cohomology and K-theory, geometric representation theory, categorification, higher-dimensional Kac-Moody theory, integrable systems, quiver varieties, representations of real and p-adic groups, and quantum gauge theories. Thus the conference will be an occasion to discuss representation theory in the context of its connections with numerous other subjects, and to discuss some of the most recent advances in representation theory, including those which occurred thanks to application of techniques in other areas of mathematics and physics, including ideas from quantum field theory and string theory. Further details can be found on the conference website at http://www.math.yale.edu/frenkel60Algebra is one of the oldest areas in mathematics. It encompasses a wide range of subjects from simple algebraic equations and polynomials to linear and abstract algebra. The study of symmetries is related to a branch of algebra called 'representation theory'. Representation theory has a vast array of applications in other areas of mathematics and physics. It is often through the study of representations that we learn about the innermost workings of our physical universe. While the origins of representation theory are algebraic, modern representation theory incorporates ideas from other branches of mathematics such as geometry, combinatorics, and category theory (a theory whose aim is to organize mathematical structure). These connections to new fields have both increased our knowledge in the area of representation theory as well as developed new applications of its ideas. The conference "Perspectives in representation theory" will be a gathering of some of the world's leading experts in this exciting field.