School and Conference in Symmetries and Integrability of Difference Equations

该奖项支持美国学员参加一个暑期学校和随后将于2008年6月在加拿大蒙特利尔举行的一次会议：(1)将于2008年6月9日至21日举行的差分方程式对称性和可积性暑期学校是北约高级研究机构在高级数学研讨会(SMS)的框架内组织的，后者是自1962年以来每年在蒙特利尔大学举办的一系列暑期学校。(2)将于2008年6月23日至29日举行的差分方程式对称性和可积性会议是1994年开始的系列会议中的第8次，暑期班的目的是使研究生、博士后和初级教师水平的研究人员能够获得差分方程对称性和可积性领域的最新进展。具体内容包括：(1)离散可积系统和等偏序系统；(2)离散Painleve方程；(3)奇点约束、代数熵和Nevanlinna理论；(4)离散微分几何；(5)作为差分方程解的特殊函数；(6)可积性、对称性和数值方法；(7)差分系统的Lie对称性；(8)可积链；(9)编码理论、稀疏恢复和图像重建。随后的会议旨在聚集该领域的顶尖专家，包括数学家、物理学家和工程师，就该研究领域的重大最新进展交换信息。会议论文集将由数学研究中心出版社出版，并由美国数学学会发行。关于外地现状和未来取得进展和应用前景的小组讨论将是会议的组成部分，并将与会议介绍幻灯片和海报一起张贴在会议网站上。NSF的资金将用于促进美国的参与，特别是研究生和博士后的参与。特别鼓励妇女和代表不足的群体申请支持。会议网址：http://www.physics.utu.fi/theory/SIDE/

This award supports attendance by U.S. participants in a summer school and a subsequent conference to be held in Montreal, Canada in June, 2008:(1) The Summer School on Symmetries and Integrability of Difference Equations, to be held 9-21 June 2008, is organized as a NATO Advanced Study Institute in the framework of the Seminaire de Mathematiques Superieures (SMS), a series of summer schools organized at the Universite de Montreal annually since 1962.(2) The conference, Symmetries and Integrability of Difference Equations, to be held 23-29 June 2008, is the 8th in a series, begun in 1994, of biennial meetings in the field.The aim of the summer school is to make the recent progress in the field of symmetries and integrability of difference equations available to researchers at the graduate-student, postdoctoral, and junior faculty levels. Specific topics to be covered are: (1) Discrete integrable and isomonodromic systems; (2) Discrete Painleve equations; (3) Singularity confinement, algebraic entropy and Nevanlinna theory; (4) Discrete differential geometry; (5) Special functions as solutions of difference or q-difference equations; (6) Integrability, symmetry and numerical methods; (7) Lie symmetries of difference systems; (8) Integrable chains; (9) Coding theory, sparse recovery, and image reconstruction.The subsequent conference is intended to bring together leading experts in the field, including mathematicians, physicists, and engineers, to exchange information on significant recent progress in the research area. A proceedings volume is to be published by the Centre de Recherches Mathematiques Press and distributed by the American Mathematical Society. A panel discussion on the status of the field and future prospects for advances and applications will be an integral part of the conference and will be posted on the conference web site, together with copies of slides of conference presentations and posters. NSF funds will be used to foster U.S. participation, particularly by graduate students and postdocs. Women and underrepresented groups are especially encouraged to apply for support.Conference web site: http://www.physics.utu.fi/theory/SIDE/