Séminaire d'analyse (archives)

Extrapolation on analytic Hardy spaces

Nom de l'orateur
Odysseas Bakas
Etablissement de l'orateur
Stockholm University
Lieu de l'exposé
Salle des séminaires
Date et heure de l'exposé

Motivated by some classical results of Meyer, Pichorides and Zygmund, we present a variant of Yano's extrapolation theorem for analytic Hardy spaces over the torus. Some related questions will also be discussed.

Balanced geometric Weyl quantization with applications to QFT on curved spacetimes.

Nom de l'orateur
Jan Derezinski
Etablissement de l'orateur
Katedra Metod Matematycznych Fizyki, Wydzial Fizyki, Uniwersytet Warszawski (Department of Mathematical Physics, Faculty of Physics, Warsaw University)
Lieu de l'exposé
Salle des seminaires
Date et heure de l'exposé

First I will describe a new pseudodifferential calculus for (pseudo-)Riemannian spaces, which in our opinion (my, D.Siemssen's and A.Latosiński's) is the most appropriate way to study operators on such a manifold. I will briefly describe its applications to computations of the asymptotics the heat kernel and Green's operator on RIemannian manifolds. Then I will discuss analogous applications to Lorentzian manifolds, relevant for QFT on curved spaces. I will mention an intriguing question of the self-adjointness of the Klein-Gordon operator.

Autour de la soutenance de Thomas Wallez

Nom de l'orateur
Peter Topalov and Alexei Iantchenko
Etablissement de l'orateur
Northeastern University
Malmö University
Lieu de l'exposé
Salle des seminaires
Date et heure de l'exposé

14h, Peter Topalov : On the group of almost periodic diffeomorphisms and its exponential map

We define the group of almost periodic diffeomorphisms on the Euclidean plane $\mathbb{R}^n$. We then study the properties of its Riemannian and Lie group exponential map and provide applications to fluid dynamics.

15h, Alexei Iantchenko : Semiclassical inverse problems for elastic surface waves in isotropic media

We carry out a semiclassical analysis of surface waves in Earth which is stratified near its boundary at some scale comparable to the wave length.

Soutenance : "Mathematical Analysis of Quantum Physics with Non-selfadjoint Operators"

Nom de l'orateur
Radek Novak
Etablissement de l'orateur
LMJL
Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague
Lieu de l'exposé
Salle 003, bâtiment 11
Date et heure de l'exposé