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Nonstandard compact complex manifolds with a generic auto-morphism

By Rahim Moosa

Appears in collection : Model Theory, Difference/Differential Equations and Applications / Théorie des modèles, équations différentielles et aux différences et applications

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.

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Citation data

  • DOI 10.24350/CIRM.V.18745803
  • Cite this video Moosa, Rahim (07/04/2015). Nonstandard compact complex manifolds with a generic auto-morphism. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18745803
  • URL https://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. <arXiv:1502.06521> - http://arxiv.org/abs/1502.06521

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