Séminaires : Séminaire d'Algèbres d'Opérateurs

Equipe(s) : ao,
Responsables :Pierre Fima, François Le Maître, Romain Tessera
Email des responsables :
Salle : 1013
Adresse :Sophie Germain

Orateur(s) Iakovos Androulidakis - Université d'Athènes,
Titre Singular inhomogeneous operators and their parametrices
Horaire14:00 à 15:00
Diffusion https://bigbluebutton3.imj-prg.fr/b/fra-j6k-9fw/
RésumeGiven a singular filtration of a manifold, we use singular foliations to define a pseudo-differential calculus. The operators in our calculus have a well defined principal symbol. We distinguish a characteristic set of representations of the associated (singular) grading, on which the invertibility of the principal symbol depends (Rockland condition). We then show that invertibility implies hypoellipticity, by constructing a parametrix. This is joint work with Erik van Erp, Omar Mohsen and Robert Yuncken.
AdresseSophie Germain