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Contracting endomorphisms of valued fields
Multi angle
Authors : Dor, Yuval (Author of the conference)
CIRM (Publisher )
CIRM (Publisher )
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Abstract :
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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 23/06/2023 Conference Date : 01/06/2023 Subseries : Research talks arXiv category : Logic ; Commutative Algebra Mathematical Area(s) : Algebra ; Logic and Foundations Format : MP4 (.mp4) - HD Video Time : 00:53:56 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-05-30_dor.mp4 
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Information on the Event
Event Title : Model theory of valued fields / Théorie des modèles des corps valuésEvent Organizers : Chatzidakis, Zoé ; Jahnke, Franziska ; Rideau-Kikuchi, Silvain Dates : 29/05/2023 - 02/06/2023 Event Year : 2023 Event URL : https://conferences.cirm-math.fr/2761.html
Citation Data
DOI : 10.24350/CIRM.V.20051303Cite this video as: Dor, Yuval (2023). Contracting endomorphisms of valued fields. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20051303 URI : http://dx.doi.org/10.24350/CIRM.V.20051303 |
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Bibliography
- DOR, Y. and HALEVI, Y., “Contracting Endomorphisms of Valued Fields”, arXiv e-prints, 2023. doi:10.48550/arXiv.2305.18963 - https://doi.org/10.48550/arXiv.2305.18963
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