Workshop:Facets of Integrability: Random Patterns, Stochastic Processes, Hydrodynamics, Gauge Theories and Condensed Matter Systems-the Simons Ctr for Geometry&Physics 1/21-27/

这是一个为2013年1月21日至27日在西蒙斯几何和物理中心举办的国际研讨会“可积性的方面：随机模式，随机过程，流体力学，规范理论和凝聚态系统”提供部分资金的提案。该研讨会的主要目标是建立和研究随机过程与经典和量子可积性中已知的数学结构之间的关系。该研讨会将侧重于可积非线性系统技术的各种应用，以随机矩阵，戴森扩散，以及在随机过程中产生的各种几何对象的计数问题等主题。可积性领域以处于数学和物理之间的界面而闻名。这种影响是双向的，数学技术和思想对可积性理论的重大进步起到了至关重要的作用。研讨会将汇集数学家和物理学家谁的工作与这些领域的想法。与会者将是来自世界各地的杰出科学家、青年研究人员和学生。 西蒙斯中心最适合举办拟议的研讨会。它是一个研究中心，致力于将数学家和物理学家聚集在一起，进一步了解几何和理论物理的基础知识，特别是这两个学科的界面知识。 为了扩大影响，将通过西蒙斯几何和物理中心的网站记录和传播讲习班上提出的结果，西蒙斯几何和物理中心是举办这样一个讲习班的一个非常自然的地方，因为它靠近斯托尼布鲁克大学的数学和物理系以及杨理论物理研究所，在可积性领域有着卓越的传统。研讨会的主要目的是把在不同领域工作的人聚集在一起。各学科的交叉融合为研究生和博士后的培养提供了良好的环境。特别鼓励年轻的研究人员使用NSF的支持来支付他们的旅行和住宿费用。支持青年研究人员和研究生前往参加这样一个会议，来自不同科学领域的科学家，无论是年老的还是年轻的，杰出的还是刚刚起步的，都将在一个鼓舞人心和融洽的环境中度过一周，这将像过去一样激励许多新的研究人员，包括少数群体和代表人数不足的群体的成员。通过及时的广告宣传和提供部分旅行支助，它将大大增加青年学生和研究人员的参与。

This is a proposal for partial funding for an international workshop "Facets of integrability: random patterns, stochastic processes, hydrodynamics,gauge theories and condensed matter systems" at the Simons Center for Geometry and Physics in January 21-27, 2013. The main goal of the workshop is to establish and investigate relations between random processes and mathematical structures known in classical and quantum integrability. The workshop will focus on various applications of techniques of integrable non-linear systems to random matrices, Dyson diffusion, and counting problems of various geometrical objects arising in random processes, among other topics. The field of integrability is known for being at the interface between mathematics and physics. The influence flows in both directions, with mathematical techniques and ideas contributing crucially to major advances in the theory of integrability. The workshop will bring together mathematicians and physicists who work on ideas related to these fields. The participants will be prominent scientists, young researchers, and students from all over the world. The Simons Center is most suitable for hosting the proposed workshop. It is a research center devoted to bringing mathematicians and physicists together to further fundamental knowledge in geometry and theoretical physics, especially knowledge at the interface of these two disciplines. For broader impact the results presented at the workshop will be recorded and disseminated through a web site of the Simons Center for Geometry and Physics, which is a very natural place to host such a workshop, being located in close proximity to Mathematics and Physics departments of Stony Brook University and to the Yang Institute for Theoretical Physics, with a tradition of excellence in the field of integrability. The main idea of the workshop is to bring together people working in different fields. The cross-fertilization of different fields provides a nice environment for training graduate students and postdocs. Junior researchers will be especially encouraged to participate using NSF support to pay for their for travel and lodging. Supporting the travel of young researchers and graduate students to such a conference where scientists from different scientific fields, old and young, prominent and just beginning, are spending a week in an inspiring and congenial environment will, as it has done so in the past, inspire many beginning researchers, including minorities and members from the underrepresented groups. By prompt advertising and by offering partial travel support it will significantly increase the participation of young students and researchers.