# Model Theory of Fields

A mini-course by Piotr Kowalski (Uniwersytet Wrocławski)

- First meeting and first lecture:
- 10:00 Thursday, February 20, 2014, Thursday, MSGSÜ Math Dept, Seminar Room (Bomonti)
- Short Description:
- I plan to introduce some notions of geometric model theory (Morley
rank, stability) in the concrete cases of fields (with a possible extra
structure). I would like to emphasize connections between algebraic
geometry and model theory, both on a basic level: Ax's theorem and
completeness of ACF
_{0}, Chevalley's Theorem on Constructible Sets and elimination of quantifiers, existence of the field of definition and elimination of imaginaries; and (time permitting) on a more advanced level: Zilber's trichotomy and diophantine geometry, rationality of Poincare power series and elimination of quantifiers for*p*-adics. - Background needed:
- Basic knowledge of commutative algebra