POWRE: Research in Model Theory: Stable Structures via Amalgamation

荷兰将继续她的工作，建设和分析的新模型，在风格的Hrushovski作为泛型的强融合类。 她建议，与鲍德温，应用他们的联合工作的问题，建设一个“坏领域”。 Holland进一步提出澄清相对平坦性和相对CM平凡性的概念，解决了定义并表明这些性质确实是方法的产物。 她打算完善她的平坦性分析，并将其结果应用于当前的例子，以分类的自由度，他们的几何结构的生成。她还打算确定她自己的自由层次和皮莱的n-丰富的概念之间的关系。 该项目由MPS多学科活动办公室（OMA）支持。

Holland will continue her work on the construction and analysis of new models constructed in the style of Hrushovski as generics of strong amalgamation classes. She proposes, with Baldwin, to apply their joint work to the problem of constructing a ``bad field". Holland further proposes to clarify the notionsof relative flatness and relative CM-triviality, settling upon definitions and showing that the properties are, indeed products of the method. She intends to refine her analysis of flatness and to apply the results to the current examples to classify them by degree of freeness of generation of their geometric structure. She further intends to determine the relationship between her own hierarchy of freeness and Pillay's notion of n-ampleness. This POWRE project is supported by the MPS Office of Multidisciplinary Activities (OMA).