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Appears in collection : Model theory of valued fields / Théorie des modèles des corps valués

I will report on work with Stout from arXiv:2304.12267. Since the work by Denef, p-adic cell decomposition provides a well-established method to study p-adic and motivic integrals. In this paper, we present a variant of this method that keeps track of existential quantifiers. This enables us to deduce descent properties for p-adic integrals. We will explain all this in the talk.

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Citation data

  • DOI 10.24350/CIRM.V.20050603
  • Cite this video Cluckers, Raf (01/06/2023). Existential uniform p-adic integration and descent for integrability and largest poles. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20050603
  • URL https://dx.doi.org/10.24350/CIRM.V.20050603

Bibliography

  • CLUCKERS, Raf et STOUT, Mathias. Existential uniform $ p $-adic integration and descent for integrability and largest poles. arXiv preprint arXiv:2304.12267, 2023. - https://doi.org/10.48550/arXiv.2304.12267

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