Items related to Model Theory of Fields: No. 5 (Lecture Notes in Logic)
Synopsis
This work gives an introduction to the model thoery of fields. As well as the basic model theory of the fields of real and complex numbers, it focuses on differential fields and separably closed fields, the theories used in Hrushovski's proof of the Mordell-Lang conjecture for function fields.
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Book Description
The model theory of fields is a fascinating subject stretching from Tarski's work on the decidability of the theories of the real and complex fields to Hrushovksi's recent proof of the Mordell–Lang conjecture for function fields. This volume provides an insightful introduction to this active area, concentrating on connections to stability theory.
About the Author
David Marker is a professor at the University of Illinois, Chicago. His research includes model theory and its applications to real algebraic and analytic geometry, exponentiation, and differential algebra. Margit Messmer is a professor at the University of Illinois, Urbana-Champaign. Her research interests include mathematical logic and model theory. Anand Pillay is also a professor at the University of Illinois, Urbana-Champaign. His research interests include model theory and applications to algebra, geometry and number theory.
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