English
The Jackson analysis and the strongest hypotheses
Multi angle
Auteurs : Goldberg, Gabriel (Auteur de la conférence)
CIRM (Editeur )
03E05 - Combinatorial set theory (logic)
03E45 - Constructibility, ordinal definability, and related notions
03E55 - Large cardinals
03E60 - Determinacy principles
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2370/Slides/Goldberg.pdf
CIRM (Editeur )
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Résumé :
In his work on the projective ordinals, Jackson initiated a detailed analysis of the structure of the cardinal numbers in the inner model L(R). To complete this analysis seems to require the development of a global theory of measures on ordinals in L(R). We present some results in this direction which are inspired by the unexplained analogy between the Axiom of Determinacy and the strongest large cardinal hypotheses.
Mots-Clés : Ultrapower Axiom; I0; determinacy; ultrafilter
Codes MSC : Mots-Clés : Ultrapower Axiom; I0; determinacy; ultrafilter
03E05 - Combinatorial set theory (logic)
03E45 - Constructibility, ordinal definability, and related notions
03E55 - Large cardinals
03E60 - Determinacy principles
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2370/Slides/Goldberg.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de Publication : 04/10/2021 Date de Captation : 13/09/2021 Sous Collection : Research talks Catégorie arXiv : Logic Domaine(s) : Logique et Fondements Format : MP4 (.mp4) - HD Durée : 01:05:14 Audience : Chercheurs Download : https://videos.cirm-math.fr/2021-09-13_Goldberg.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : XVI International Luminy Workshop in Set Theory / XVI Atelier international de théorie des ensemblesOrganisateurs de la Rencontre : Fischer, Vera ; Velickovic, Boban ; Viale, Matteo Dates : 13/09/2021 - 17/09/2021 Année de la rencontre : 2021 URL de la Rencontre : https://conferences.cirm-math.fr/2370.html
Données de citation
DOI : 10.24350/CIRM.V.19809403Citer cette vidéo: Goldberg, Gabriel (2021). The Jackson analysis and the strongest hypotheses. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19809403 URI : http://dx.doi.org/10.24350/CIRM.V.19809403 |
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Bibliographie
- Goldberg, Gabriel. "Even ordinals and the Kunen inconsistency." arXiv preprint arXiv:2006.01084 (2020). - https://arxiv.org/abs/2006.01084
- Steel, John R., and W. Hugh Woodin. "HOD as a core model." Ordinal definability and recursion theory: the Cabal Seminar. Vol. 3. 2016. -
- Woodin, W. Hugh. "Suitable extender models II: beyond ω-huge." Journal of Mathematical Logic 11.02 (2011): 115-436. - https://doi.org/10.1142/S021906131100102X
- Jackson, Steve. "AD and the projective ordinals." in Kechris A.S., Martin D.A., Steel J.R. (eds) Cabal Seminar 81–85. Lecture Notes in Mathematics, vol 1333 Springer, Berlin, Heidelberg, 1988. - https://doi.org/10.1007/BFb0084974
- Cramer, Scott. "Implications of very large cardinals." in Caicedo, Andrés Eduardo, et al., eds. Foundations of Mathematics. Contemporary Mathematics 690 (2017): 225-257.American Mathematical Soc., 2017. - https://www.ams.org/books/conm/690/13870
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