Français
Contracting endomorphisms of valued fields
Multi angle
Authors : Dor, Yuval (Author of the conference)
... (Publisher )
... (Publisher )
Loading the player...
|
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.
MSC Codes : |
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 
|
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 |
See Also
- [Multi angle] Beautiful pairs revisited / Author of the conference Ye, Jinhe.
- [Multi angle] An Imaginary Ax-Kochen/Ershov principle: the equicharacteristic zero case / Author of the conference Vicaria, Mariana.
- [Multi angle] Existential closedness of $\mathbb{Q}^{alg}$ as a globally valued field / Author of the conference Szachniewicz, Michal.
- [Multi angle] Interpretable, definably semisimple groups in various valued fields / Author of the conference Peterzil, Ya'acov.
- [Multi angle] The existential closedness problem for analytic solutions of difference equations / Author of the conference Padgett, Adele.
- [Multi angle] Multi topological fields and NTP2 / Author of the conference Montenegro Guzman, Samaria.
- [Multi angle] A Hasse principle over Berkovich analytic curves / Author of the conference Mehmeti, Vlerë.
- [Multi angle] Definable convex and henselian valuations on ordered fields / Author of the conference Krapp, Lothar Sebastian.
- [Multi angle] Beyond the Fontaine-Wintenberger theorem / Author of the conference Kartas, Konstantinos.
- [Multi angle] Around NIP Noetherian domains / Author of the conference Johnson, Will.
- [Multi angle] An invitation to globally valued fields / Author of the conference Hrushovski, Ehud.
- [Multi angle] Lang-Weil type bounds in finite difference fields / Author of the conference Hils, Martin.
- [Multi angle] Residue field domination / Author of the conference Haskell, Deirdre.
- [Multi angle] Motivic integration with pseudo-finite residue field and fundamental lemma / Author of the conference Forey, Arthur.
- [Multi angle] Tropical functions on skeletons / Author of the conference Ducros, Antoine.
- [Multi angle] Ax-Kochen-Ershov principles for finitely ramified henselian fields / Author of the conference Dittmann, Philip.
- [Multi angle] Group construction in $C$-minimal structures / Author of the conference Delon, Françoise.
- [Multi angle] Homology groups in algebraically closed valued fields / Author of the conference Cubides Kovacsics, Pablo.
- [Multi angle] Existential uniform p-adic integration and descent for integrability and largest poles / Author of the conference Cluckers, Raf.
- [Multi angle] Polynomials that vanish on many sets of codimension 2 / Author of the conference Ben Yaacov, Itaï.
- [Multi angle] The model theory of Hardy fields and linear differential equations / Author of the conference Aschenbrenner, Matthias.
- [Multi angle] Transfer of decidability for existential theories of (valued) fields / Author of the conference Anscombe, Sylvy.
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
Imagette Video
