论文标题
六个关于模型理论和差异代数几何的讲座
Six lectures on model theory and differential-algebraic geometry
论文作者
论文摘要
这是我在2021年秋天在多伦多菲尔德学院(Fields Institute)进行的一些讲座的文章,这是纯模型理论趋势的主题计划的一部分。该模块的目的是快速介绍差异字段的模型理论,该理论将差异 - 代数几何形状放在中心。在这里,我将重点放在代数矢量领域的异性几何学上,而在购买意义上则更加普遍。
This is a write-up of some lectures I gave in the Fall of 2021 at the Fields Institute in Toronto, as part of the Thematic Programme on Trends in Pure and Applied Model Theory. The goal of the module was to give a quick introduction to the model theory of differential fields that puts differential-algebraic geometry at the center. I focus here on the birational geometry of algebraic vector fields and more generally $D$-varieties in the sense of Buium.