Report
Classification Theory and the Construction of PAC Fields
| العنوان: | Classification Theory and the Construction of PAC Fields |
|---|---|
| المؤلفون: | Nick Ramsey |
| المساهمون: | Kompetenzzentrum für nicht-textuelle Materialien |
| بيانات النشر: | Banff International Research Station (BIRS) for Mathematical Innovation and Discovery |
| سنة النشر: | 2018 |
| مصطلحات موضوعية: | Mathematics, Mathematik, Naturwissenschaften |
| الوصف: | (en)A field K is called pseudo-algebraically closed (PAC) if every absolutely irreducible variety defined over K has a K-rational point. These fields were introduced by Ax in his characterization of pseudo-finite fields and have since become an important object of model-theoretic study. A remarkable theorem of Chatzidakis proves that, in a precise sense, independent amalgamation in a PAC field is controlled by independent amalgamation in the absolute Galois group. We will describe how this theorem and a graph-coding construction of Cherlin, van den Dries, and Macintyre may be combined to construct PAC fields with prescribed model-theoretic properties. |
| نوع الوثيقة: | course material moving image (video) |
| اللغة: | English |
| Relation: | https://av.tib.eu/media/59335 |
| الاتاحة: | https://av.tib.eu/media/59335 |
| Rights: | https://creativecommons.org/licenses/by-nc-nd/4.0 |
| رقم الانضمام: | edsbas.A2E74B0F |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |