Cebirsel kapalı cisimlerde yorumlanabilir cisimler

This thesis focuses on some results regarding the interaction between algebraic geometry and model theory. It concerns the characterization of definable fields in an algebraically closed field which is provided by Bruno Poizat. In this work, we present the basic model theoretic notions with strong theorems, the background about groups of finite Morley rank and linear algebraic groups. Such a presentation is not only essential to understand this characterization (Poizat, 2001) but also enlightening to see the aforementioned interaction. Then to conclude that an infinite field K which is definable in an algebraically closed field F is definably isomorphic to F , we will introduce the Poizat's idea which provides two different methods depending on characteristic of F.