[Turkmath:9535] Kısa ders: Model Theory of Fields

[Ayse Berkman]

Sayın turkmath Üyeleri,

Wroclaw Üniversitesi'nden Piotr Kowalski, Erasmus programı desteği ile
bölümümüzde beş hafta sürecek ve ileri düzey lisans ve lisansüstü
öğrencilerine hitap edecek "Model Theory of Fields" başlıklı bir ders
verecektir.  Diğer ayrıntıları aşağıda verilen dersi ilgilenebilecek
öğrencilerinize duyurursanız çok seviniriz.

Selamlar,
Ayşe Berkman

Mini-course: "Model Theory of Fields" by Piotr Kowalski

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

First meeting and first lecture: 20 February 2014, Thursday
10.00
MSGSU Math Dept, Seminar Room (Bomonti)

http://www.mat.msgsu.edu.tr
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