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On differentially large fields.

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On differentially large fields.

Recall that a field K is large if it is existentially closed in K((t)). Examples of such fields are the complex, the real, and the p-adic numbers. This class of fields has been exploited significantly by F. Pop and others in inverse Galois-theoretic problems. In recent work with M. Tressl we introduced and explored a differential analogue of largeness, that we conveniently call « differentially large ». I will present some properties of such fields, and use a twisted version of the Taylor morphism to characterise them using formal Laurent series and to even construct « natural » examples (which ultimately yield examples of DCFs and CODFs… acronyms that will be explained in the talk).

- Séminaire Géométrie et théorie des modèles

Détails :

Orateur / Oratrice : Omar Leon Sanchez
Date : 14 décembre 2018
Horaire : 16h00 - 17h30
Lieu : ENS Salle W