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SUMMARY:Piotr Kowalski (Uniwersytet Wrocławski)
DTSTART:20201112T160000Z
DTEND:20201112T165000Z
DTSTAMP:20260422T221107Z
UID:20w5206/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/20w5206/8/">
 Model theory of group actions on fields</a>\nby Piotr Kowalski (Uniwersyte
 t Wrocławski) as part of BIRS workshop: Algebraic Dynamics and its Connec
 tions to Difference and Differential Equations\n\n\nAbstract\nFor a fixed 
 group G\, we study the model theory of actions of G by field automorphisms
 . The main question here is to characterize the class of groups G for whic
 h the theory of such actions has a model companion (a first-order theory o
 f "large" actions). In my talk\, I will discuss several classes of groups 
 G in this context.\nThe case of finite groups is joint work with Daniel Ho
 ffmann ("Existentially closed fields with finite group actions"\, Journal 
 of Mathematical Logic\, (1) 18 (2018)\, 1850003).\nThe case of finitely ge
 nerated virtually free groups is joint work with Özlem Beyarslan ("Model 
 theory of fields with virtually free group actions"\, Proc. London Math. S
 oc.\, (2) 118 (2019)\, 221-256).\nThe case of commutative torsion groups i
 s joint work with Özlem Beyarslan ("Model theory of Galois actions of tor
 sion Abelian groups"\, arXiv:2003.02329).\n
LOCATION:https://researchseminars.org/talk/20w5206/8/
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