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.

Let G be a semi-simple algebraic group over an algeraically closed field of positive characteristic and let B be a Borel subgroup. The cohomology of the G-equivariant line bundles on G/B induced by a one dimensional B-module are important objects in the representation theory of G.

In this talk, I will start by recalling some results about them, due to Kempf, Griffith, Andersen, Jantzen, etc. Then I will present some new results for G=SL3 obtained in my thesis. More precisely, I have proved the existence of two filtrations of Hi(G/B,μ). The first exists for i=1,2 and μ in the Griffith region. The second, which generalizes the p-filtration introduced by Jantzen, exists for all i and μ.