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.

The Hilbert's problems were a list of 23 broad mathematical problems published by David Hilbert in 1900 which paved the way for some of the most influential works of the 20th century. In this talk I will give an overview of Hilbert's 21st problem, which asks whether or not we can find a linear differential equation on the complex plane with prescribed singular points and monodromy. First I will give an overview of the original problem and of the history of its proof. Afterwards, I will explain how generalizations of this problem led to the development of works by Deligne, Katz, Kashiwara, Mebkhout, etc. on regular connections and the Riemann-Hilbert correspondence.