XVI International Luminy Workshop in Set Theory / XVI Atelier international de théorie des ensembles

Collection XVI International Luminy Workshop in Set Theory / XVI Atelier international de théorie des ensembles

Organizer(s) Fischer, Vera ; Velickovic, Boban ; Viale, Matteo

Date(s) 13/09/2021 - 17/09/2021

linked URL https://conferences.cirm-math.fr/2370.html

00:00:00 / 00:00:00

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The Jackson analysis and the strongest hypotheses

By Gabriel Goldberg

Ultrapower Axiom

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.

Information about the video

Date of recording 13/09/2021
Date of publication 04/10/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19809403
Cite this video Goldberg, Gabriel (13/09/2021). The Jackson analysis and the strongest hypotheses. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19809403
URL https://dx.doi.org/10.24350/CIRM.V.19809403

Domain(s)

Logic

Bibliography

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

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/2370/Slides/Goldberg.pdf

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