Conference: Physics Mathematics Summer Institute

这个项目是为了支持美国参与者前往一个跨学科的会议，“物理数学暑期研究所（PhyMSI）”，这是专门为双仿射Hecke代数，朗兰兹计划，仿射旗品种，共形场论，超级杨米尔斯理论和AdS-CFT对应。会议将于2011年6月至7月举行（Cargese，Luminy）。会议由两个主要部分组成：朗兰兹程序和双仿射Hecke代数部分包含的主题（a）仿射和双仿射Hecke代数和可积模型的关系，（B）几何朗兰兹程序和仿射旗簇理论，以及（c）有限特征和p-进朗兰兹程序。重点是几何方面的朗兰兹计划和双仿射Hecke代数。超杨米尔斯理论和Ads共形场论部分是现代理论物理的核心方向，包含以下主要主题：（a）超杨-米尔斯理论，包括对朗兰兹计划的应用，（B）AdS-CFT对应和可积性，（c）不同维度的共形和超共形场论，以及（d）与代数和几何的新关系。会议的主要目的是将主要的和年轻的研究人员聚集在一起，并提供机会：（a）了解这些高度跨学科方向的前景;（B）加速进展并找到新的发展与合作路线;（c）其他领域的科学家的更多参与。Langlands计划，仿射旗簇，仿射Hecke代数，双仿射Hecke代数、超杨米尔斯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地监测其他领域的进展。 本次会议计划将为在不同研究领域工作的研究人员提供一个机会，聚集在一起讨论新的想法和这些主题之间的进一步相互联系。大部分的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将继续参与研究领域及其新的发展。

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.