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

Equipe(s) : doctorants,
Responsables :Salim Alloun, Pedro Alves, Baptiste Dugué, Brian Flanagan, Ivory Fronteau, Kostyantyn Krutoy
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Description

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.

Orateur(s) Mathieu DUTOUR - (IMJ-PRG),
Titre A Deligne-Riemann-Roch isometry for modular curves
Date20/02/2019
Horaire18:00 à 19:00
Diffusion
RésumeIn 1987, Deligne proved a type of Riemann-Roch theorem, which aims to relate geometric and arithmetic properties of compact Riemann surfaces endowed with smooth hermitian metrics.
When trying to apply this result to the case of modular curves, we find that there is a crucial hypothesis that is not satisfied : the Poincaré metric does not behave nicely and has singularities at some points.
The purpose of this talk is to present a method, called analytic surgery, which we can use to avoid these singularities and get a variation of Deligne's results. Some unexpected applications stem from these considerations, such as explicit values of some derivatives of Selberg zeta functions.
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