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Contracting endomorphisms of valued fields

By Yuval Dor

Appears in collection : Model theory of valued fields / Théorie des modèles des corps valués

We propose a model complete theory of valued fields equipped with an $\omega$ increasing endomorphism which is not onto. The key to the quantifier elimination statement is a study of generic types and a systematic use of descent. As a consequence, we derive the decidability of the elementary theory of the Frobenius action on separably algebraically closed valued fields, generalizing results of Chatzidakis and Hrushovski. This is joint work with Yatir Halevi.

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Citation data

  • DOI 10.24350/CIRM.V.20051303
  • Cite this video Dor, Yuval (01/06/2023). Contracting endomorphisms of valued fields. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20051303
  • URL https://dx.doi.org/10.24350/CIRM.V.20051303

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