NSF-CBMS Reg. Conf. in Math - Lectures on the Geometrical Study of Differential Equations

微分几何对微分方程的研究有着悠久而杰出的历史，可以追溯到李、达布和E.嘉当 他们的想法已在许多随后的发展产生了很大的影响，在几个领域目前的兴趣在纯数学和应用数学，包括理论的completeley integribale发展方程及其孤子解决方案，守恒定律，变分法，和理论的无限维李群。 目的教授卡姆兰在这些讲座将给予一个合理的自我包含的帐户的一些最重要的最近的事态发展已经出现了这种方式从微分研究微分方程。

The differential geometry study of differential equations has a long and distinguished history, going back to the classical papers of Lie, Darboux and E. Cartan. Their ideas have been at the source of many subsequent developments which have had a great impact in several areas of current interest in pure and applied mathematics, including the theory of completeley integrabale evolution equations and their soliton solutions, conservation laws, the calculus of variations, and the theory of infinite-dimensional Lie groups. The aim of Professor Kamran in these lectures will be to give a reasonably self-contained account of some of the most significant recent developments which have arisen in this way from the differential study of differential equations.