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Nonstandard compact complex manifolds with a generic auto-morphism
Multi angle
Authors : Moosa, Rahim (Author of the conference)
CIRM (Publisher )
03C45 - Classification theory, stability and related concepts [See also 03C48]
03C60 - Model-theoretic algebra
03C65 - Models of other mathematical theories
32Jxx - Compact analytic spaces [For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx]
CIRM (Publisher )
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Abstract :
If CCM denotes the theory of compact complex spaces in the langauge of complex-analytic sets, then the theory of models of CCM equipped with an automorphism has a model companion, denoted by CCMA. The relationship to meromorphic dynamical systems is the same as that of ACFA to rational dynamical systems. I will discuss recent joint work with Martin Bays and Martin Hils that begins a systematic study of CCMA as an expansion of ACFA. Particular topics we consider include: stable embeddedness, imaginaries, and the Zilber dichotomy.
MSC Codes : 03C45 - Classification theory, stability and related concepts [See also 03C48]
03C60 - Model-theoretic algebra
03C65 - Models of other mathematical theories
32Jxx - Compact analytic spaces [For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx]
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 21/04/15 Conference Date : 07/04/15 Subseries : Research talks arXiv category : Logic in Computer Science ; Complex Variables Mathematical Area(s) : Logic and Foundations Format : MP4 (.mp4) - HD Video Time : 00:51:45 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-04-07_Moosa.mp4 
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Information on the Event
Event Title : Model Theory, Difference/Differential Equations and Applications / Théorie des modèles, équations différentielles et aux différences et applicationsEvent Organizers : Beyarslan, Özlem ; Hils, Martin ; Martin-Pizarro, Amador Dates : 07/04/15 - 10/04/15 Event Year : 2015 Event URL : http://conferences.cirm-math.fr/1194.html
Citation Data
DOI : 10.24350/CIRM.V.18745803Cite this video as: Moosa, Rahim (2015). Nonstandard compact complex manifolds with a generic auto-morphism. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18745803 URI : http://dx.doi.org/10.24350/CIRM.V.18745803 |
Bibliography
- Bays, M., Hils, M., & Moosa, R. (2015). Model Theory of Compact Complex Manifolds with an Automorphism.
