数学物理方程中的同调方法
Homological Methods in Equations of Mathematical Physics
摘要：
这些课堂讲稿是一个系统的和自足的阐述自然相关的偏微分方程的上同调理论：维诺格拉多夫C-谱序列和C-上同调，包括制定方面的水平（特征）上同调。应用计算不变量的微分方程进行了讨论。讲座包含必要的介绍材料的几何理论的微分方程和同调代数。
英文摘要：
These lecture notes are a systematic and self-contained exposition of the cohomological theories naturally related to partial differential equations: the Vinogradov C-spectral sequence and the C-cohomology, including the formulation in terms of the horizontal (characteristic) cohomology. Applications to computing invariants of differential equations are discussed. The lectures contain necessary introductory material on the geometric theory of differential equations and homological algebra.
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。
