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

9813973Craig1999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美英哈密尔顿力学和偏微分方程式小因子研讨会上，该奖项将资助12名美国参与者(资深科学家、博士后研究人员)。布朗大学的沃尔特·克雷格与波士顿大学的C·E·韦恩、赫里奥特-瓦特大学的J·卡尔、S·库克辛和K·哈宁共同组织了这次研讨会。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)和其他无限维动力系统中的应用取得了重大进展。研讨会重点讨论了以下方面的最新进展：(1)哈密顿动力学和偏微分方程组理论；(2)无限维Birkhoff范式分析；(3)偏微分方程组的不变Gibbs测度；(4)无穷维相空间的辛容；(5)奈霍罗谢夫的多周期轨道亚稳定理论。讲习班将为该领域的主要贡献者提供机会发展新的合作，并将成为培训这一主题的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.