English
Residue field domination
Multi angle
Auteurs : ... (Auteur de la Conférence)
... (Editeur )
03C60 - Model-theoretic algebra
12J10 - Valued fields
12L12 - Model theory
... (Editeur )
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Résumé :
The idea of stable domination for types in a theory was proposed and developed for algebraically closed valued fields in the eponymous book by Haskell, Hrushovski and Macpherson (2008). With the observation both that valued fields that are not algebraically closed generally have no stable part and that the stable part of an algebraically closed valued field is closely linked to the residue field, it seemed appropriate to consider a notion of residue field domination. In this talk, I will illustrate the idea of residue field domination with various examples, and then present some theorems which apply to some henselian valued fields of characteristic zero. These results are presented in a recent preprint of Ealy, Haskell and Simon, with similar results in a preprint of Vicaria.
Keywords : valued fields; stable domination
Codes MSC : Keywords : valued fields; stable domination
03C60 - Model-theoretic algebra
12J10 - Valued fields
12L12 - Model theory
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Informations sur la Vidéo
Langue : AnglaisDate de publication : 23/06/2023 Date de captation : 30/05/2023 Sous collection : Research talks arXiv category : Logic Domaine : Algebra ; Logic and Foundations Format : MP4 (.mp4) - HD Durée : 00:46:49 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023_05-30_Haskell_1.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Model theory of valued fields / Théorie des modèles des corps valuésDates : 29/05/2023 - 02/06/2023 Année de la rencontre : 2023 URL Congrès : https://conferences.cirm-math.fr/2761.html
Données de citation
DOI : 10.24350/CIRM.V.20051703Citer cette vidéo: (2023). Residue field domination. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20051703 URI : http://dx.doi.org/10.24350/CIRM.V.20051703 |
Voir aussi
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Bibliographie
- EALY, Clifton, HASKELL, Deirdre, et SIMON, Pierre. Residue field domination in some henselian valued fields. arXiv preprint arXiv:2212.05188, 2022. - https://doi.org/10.48550/arXiv.2212.05188
- VICARIA, Mariana. Residue field domination in henselian valued fields of equicharacteristic zero. arXiv preprint arXiv:2109.08243, 2021. - https://doi.org/10.48550/arXiv.2109.08243
- HASKELL, Deirdre, HRUSHOVSKI, Ehud, et MACPHERSON, Dugald. Stable domination and independence in algebraically closed valued fields. arXiv preprint math/0511310, 2005. - https://doi.org/10.48550/arXiv.math/0511310
- EALY, Clifton, HASKELL, Deirdre, et MARIKOVA, Jana. Residue field domination in real closed valued fields. 2019. - https://doi.org/10.48550/arXiv.2109.08243
- KOVACSICS, Pablo Cubides, HILS, Martin, et YE, Jinhe. Beautiful pairs. arXiv preprint arXiv:2112.00651, 2021. - https://doi.org/10.48550/arXiv.2112.00651
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