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.

Hyper-Kähler varieties are simply connected complex Kähler manifolds admitting a unique holomorphic, everywhere non-degenerate 2-form. They constitute one of the fundamental building blocks of varieties with trivial canonical bundle, and are extensively studied because their geometry is expected to be highly rigid, largely governed by their second integral cohomology.
In this talk, we will begin with a brief introduction to complex geometry and then define hyper-Kähler varieties together with their main properties. We will discuss the decomposition of the cohomology of hyper-Kähler varieties into irreducible representations. Given an automorphisms of a hyper-Kähler variety, what can we say about its action in cohomology?