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Curve-excluding fields

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Curve-excluding fields

Consider the class of fields with Char(K)=0 and x^4+y^4=1 has only 4 solutions in K, we show that this class has a model companion, which we denote by curve-excluding fields. Curve-excluding fields provides (counter)examples to various questions. Model theoretically, they are model complete and TP_2. Field theoretically, they are not large and unbounded. We will discuss other aspects such as decidability of such fields. This is joint work with Will Johnson and Erik Walsberg.

- Théorie des Modèles et Groupes

Détails :

Orateur / Oratrice : Vincent Ye (IMJ-PRG)
Date : 15 mars 2022
Horaire : 16h00 - 17h30
Lieu : salle 1016 Sophie Germain