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Thu, 19 Feb 2026
17:00
17:00
L3
Model Theory of Groups Actions on Fields: Revisited
Özlem Beyarslan
(T.C. Boğaziçi Üniversitesi)
Abstract
We revisit the model theory of fields with a group action by automorphisms, focusing on the existence of the model companion
G-TCF. We explain a flaw in earlier work and present the corrected result: for finitely generated virtually-free groups
G, G-TCF exists if and only if G is finite or free. This is joint work with Piotr Kowalski.