Conference: Physics Mathematics Summer Institute

会议：物理数学暑期学院

• 批准号: 1065701
• 负责人: Pavel Etingof
• 金额: $ 6万
• 依托单位: Massachusetts Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-06-01 至 2012-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1065701&HistoricalAwards=false
• 关键词: Conference; Physics; Mathematics; Summer; Institute

This project is to support US participant traveling to an interdisciplinary conference, "Physics-Mathematics Summer Institute (PhyMSI)", which is devoted to double affine Hecke algebras, the Langlands program, affine flag varieties, conformal field theory, super Yang-Mills theory and the AdS-CFT correspondence. It will be held in June-July 2011 (Cargese, Luminy). The conference consists of two major components: The Langlands program and double affine Heckealgebras component contains the topics (a) Affine and double affine Hecke algebras and relations to integrable models, (b) Geometric Langlands program and the theory of affine flag varieties, and (c) Finite characteristic and the p-adic Langlands program. The emphasis is on the geometric aspects of Langlands Program and Double Affine Hecke Algebras. The super Yang Mills theory and Ads conformal field theory component are core directions of modern theoretical physics containing the main topics (a) Super Yang-Mills theory, including applications to the Langlands program, (b) AdS-CFT correspondence and integrability, (c) Conformal and superconformal field theory in diverse dimensions, and (d) New relations with algebra and geometry. The main objective of the conference is to gather leading and young researchers together and to provide an opportunity for: (a) understanding the perspectives in these highly interdisciplinary directions; (b) accelerating the progress and finding new lines of development and cooperation; (c) greater involvement of the scientists from the other fields.The areas of Langlands program, affine flag varieties, affine Hecke algebras, double affine Hecke algebras, super Yang Mills theory and Conformal field theory are among the most active areas of current research in mathematics and physics. They are so deeply interconnected that experts in one of these fields need to constantly monitor progress in the others. This conference program will provide an opportunity for researchers working in different research areas to gather together and discuss new ideas and further interconnections among these topics. Large portion of the support will be for junior US researcher to participant in this conference and ensure that future researchers will continue be involved in the research fields and their new developments.

这个项目是为了支持美国与会者前往参加一个跨学科的会议，“物理-数学暑期研究所”，该会议致力于双仿射Hecke代数，朗兰兹计划，仿射标志簇，保形场论，超杨-米尔斯理论和ADS-CFT通信。它将于2011年6月至7月(卡尔吉斯，鲁米尼)举行。会议由两个主要部分组成：朗兰兹程序和双仿射Hecke代数部分，内容包括(A)仿射和双仿射Hecke代数及其与可积模型的关系，(B)几何朗兰兹程序和仿射标志簇理论，以及(C)有限特征和p-进朗格兰兹程序。重点讨论了朗兰兹程序和二重仿射Hecke代数的几何性质。超杨-米尔斯理论和ADS共形场理论是现代理论物理的核心方向，主要内容包括：(A)超杨-米尔斯理论，包括在朗兰兹程序中的应用；(B)ADS-CFT对应和可积性；(C)不同维度的共形和超共形场论；(D)与代数和几何的新关系。会议的主要目的是聚集顶尖和年轻的研究人员，并提供一个机会：(A)了解这些高度跨学科方向的观点；(B)加快进展，寻找新的发展与合作路线；(C)来自其他领域的科学家更多地参与。朗兰兹计划、仿射旗帜变种、仿射Hecke代数、双仿射Hecke代数、超杨Mills理论和共形场论是当前数学和物理研究中最活跃的领域。它们是如此紧密地联系在一起，以至于其中一个领域的专家需要不断监测其他领域的进展。这一会议计划将为在不同研究领域工作的研究人员提供一个聚集在一起并讨论这些主题之间的新想法和进一步相互联系的机会。很大一部分支持将用于美国初级研究人员参加这次会议，并确保未来的研究人员继续参与研究领域及其新的发展。