Séminaire Logique mathématique ICJ

The Jacobian property and non-archimedean geometry

par Erick Garcia Ramirez (University of Leeds)

Europe/Paris
Salle 112 (ICJ, bât. Braconnier, UCBL - La Doua)

Salle 112

ICJ, bât. Braconnier, UCBL - La Doua

Description
The Jacobian property is a technical condition that one can request for definable functions in valued fields. It plays, for instance, an important role in recent developments of model-theoretic Motivic Integration. In this talk I will discuss its importance in the study of singularities of definable sets in valued fields, focusing mainly on stratifications and tangent cones. To finish, I will comment on the proof that the Jacobian property holds for definable functions in power bounded T-convex fields (also known, misleadingly, as power bounded 'o-minimal valued fields').