U.S. - U.K. Workshop: Hamiltonian Mechanics and Small Divisors in Partial Differential Equations, May 23 - June 4, 1999, Edinburgh, Scotland

9813973 Craig该奖项将支持12名美国参与者（高级科学家，博士后研究人员）参加1999年5月23日至6月4日在苏格兰爱丁堡国际数学中心举行的关于偏微分方程中的哈密顿力学和小因子的美英研讨会。 布朗大学的沃尔特克雷格与C。E.波士顿大学的韦恩、J.卡尔、S. Kuksin和K.赫瑞瓦特大学的卡宁。 英国工程和物理科学研究理事会将资助20-25名英国和欧洲数学家的差旅费和当地费用。在过去的五年里，哈密顿力学的分析技术及其在偏微分方程（PDE）和其他无穷维动力系统中的应用有了重大发展。 该研讨会的重点是最近的发展（1）哈密顿动力学和偏微分方程的理论;（2）无限维Birkhoff正规形分析;（3）不变的吉布斯措施偏微分方程;（4）辛容量在无限维相空间;和（5）Nekhoroshev的多周期轨道的亚稳定性理论。 该讲习班将为该领域的主要贡献者提供发展新合作的机会，并将成为培训该主题年轻研究人员的场所。

9813973CraigThis award will support twelve US participants (senior scientists, postdoctoral researchers) in a US-UK Workshop on Hamiltonian Mechanics and Small Divisors in Partial Differential Equations to be held at the International Center for Mathematics in Edinburgh, Scotland, May 23-June 4, 1999. Walter Craig of Brown University is organizing this workshop in conjunction with C. E. Wayne of Boston University, J. Carr, S. Kuksin and K. Khanin of Heriot-Watt University. The Engineering and Physical Sciences Research Council of the UK will support travel costs and local expenses of 20-25 UK and European mathematicians. Over the last five years there have been major developments in the analytic techniques of Hamiltonian mechanics, and their applications to partial differential equations (PDE) and other infinite dimensional dynamical systems. The workshop focuses on the recent developments in (1) Hamiltonian dynamics and theory for PDE; (2) infinite dimensional Birkhoff normal forms analysis; (3) invariant Gibbs measures for PDE; (4) symplectic capacity in infinite dimensional phase space; and (5) Nekhoroshev's theory of metastability of multiply period orbits. The workshop will provide the opportunity for the principal contributors to the field to develop new collaborations and will be a venue for training young researchers in the subject.