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

Equipe(s) : doctorants,
Responsables :Salim Alloun, Pedro Alves, Baptiste Dugué, Brian Flanagan, Ivory Fronteau, Kostyantyn Krutoy
Email des responsables :
Salle :
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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) Paul Le Breton - IMJ-PRG,
Titre Sub riemannian geometry and hypoellipticity
Date17/06/2026
Horaire18:00 à 19:00
Diffusion
Résume

A sub riemannian structure on a manifold is a family of vector fields that does not generate the whole tangent space, but whose flows still "go in all the directions". When studying hypoelliptic properties of certain differential operators (for example the so called Hörmander sums of squares), finding an appropriate sub riemannian structure allows the use of powerful analytical tools that strongly rely on the geometric structure. In this talk, I will first explain the sub riemannian formalism. Then, I will briefly present the question of hypoellipticity of differential operators. Finally, I will present a semi-classical deformation producing a non commutative symbol, allowing to investigate hypoelliptic properties.

Salle
AdresseJussieu
© IMJ-PRG