[Turkmath:2967] Galatasaray Üniversitesi Matematik Bölüm Seminerleri (02.05.2018)

[Buse Fırat]

Değerli liste üyeleri,


2 Mayıs 2018 Çarşamba günü, Galatasaray Üniversitesi Matematik Bölüm Seminerleri kapsamında,  Özlem Beyarslan , ''Fields with Virtually Free Group Action'' başlıklı bir konuşma verecektir. Konuşma saat 13:30'da, FEF 7 numarali sınıfta yapılacaktır. Konuşma detayları aşağıdadır.


Seminere tüm liste üyeleri davetlidir.


Saygılarımla,

Buse Fırat

http://math.gsu.edu.tr/seminar.html



Başlık: Fields with Virtually Free Group Action

Özet: This is joint work with Piotr Kowalski. A G-field is a field, together with an action of  a group G by field automorphisms.  Our purpose is to give an axiomatization of the theory of "generic", i.e. existentially closed G-fields.  If such axiomatization for the class of existentially closed G-fields exists, we call  the resulting theory G-TCF. If G is the trivial group then G-TCF is the theory of algebraically closed fields, ACF. If G is the group of integers, then G-TCF exists and its theory is very well studied ACFA, the theory of algebraically closed fields with a generic automorphism.  It is also known  that G-TCF exist if G is finite, and G is a finitely generated free group. A natural generalization of finite groups and free groups is the class of virtually free groups. Our main theorem says that, when G  is a finitely generated virtually free group, then G-TCF exists. We also give field theoretic propertied of G-fields.

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