外微分系统、李代数上同调与齐次簇的刚性
Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties
摘要：
这些是2008年Srni冬季学校的简要说明。它们有两个目的：（1）简要介绍了外微分系统（EDS），它是一组判定偏微分方程系统局部存在性的方法，（2）介绍了最近的工作（与C. Robles）关于合理同质品种的Fubini-Griffiths-Harris刚性的研究，其中也涉及EDS技术的进展。
英文摘要：
These are expository notes from the 2008 Srni Winter School. They have two purposes: (1) to give a quick introduction to exterior differential systems (EDS), which is a collection of techniques for determining local existence to systems of partial differential equations, and (2) to give an exposition of recent work (joint with C. Robles) on the study of the Fubini-Griffiths-Harris rigidity of rational homogeneous varieties, which also involves an advance in the EDS technology.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
