Séminaires : Phd Seminar - Séminaire des doctorant.e.s

Le séminaire des doctorant.e.s est l'occasion pour les doctorant.e.s de présenter des résultats et des problématiques dignes d'intérêt devant un public de non-spécialistes. L'ambiance y est informelle ; poser des questions naïves est encouragé, et les questions moins naïves sont bienvenues dans la mesure où elles n'entravent pas le bon déroulement de l'exposé.

Chaque jeudi à 18h, en alternance entre Jussieu et Sophie Germain.

The PhD seminar is an opportnuity for PhD students to present results and topics worthy of interest in front of a non-specialist audience. The mood is informal ; asking naive questions is highly encouraged and less naive questions are also welcomed, as long as they don't intefere with the smoothness of the talk.

Every Thursday at 6pm, alternating between Jussieu and Sophie Germain.

It is known to be false that any homogeneous polynomial over Q_p of degree d in more than d^2 variables has a non-trivial zero in Q_p. However, a weaker version of this question remains true thanks to a transfer principle between Q_p and F_p((t)) "as p goes to infinity" and by a theorem of Lang. We will explain this transfer principle due to Ax, Kochen and Ersov, which is itself a consequence of relative quantifier elimination of the theory of henselian valued fields of equicharacteristic 0. We will also introduce other transfer principles in some other theories of henselian valued fields.