TITLE: Galois theory for linear (and nonlinear) differential equations .
报告人：Cartier P. 教授(法兰西高等研究院研究员、前布尔巴基学派掌门人)
时间：2012年5月25日 10：00-11:00
地点：闵行数学系102报告厅

ABSTRACT : the classical theory of Galois type for ordinary differential equations was developed by Picard and Vessiot in the beginning of the 20th century . A further progress is due to Kolchin (around 1945) . I shall review the later developments , especially the generalization to the higher dimensional equations , as well to the nonlinear case . The notion of groupoid (an extension of the notion of group) is crucial , as well as the interface between differential and algebraic geometry . This subject is still wide open