Séminaires : Séminaire d'Algèbres d'Opérateurs

Equipe(s) : ao,
Responsables :François Le Maître et Romain Tessera
Email des responsables :
Salle : 2015
Adresse :Sophie Germain
Description

Orateur(s) Karsten Bohlen - Universität Regensburg,
Titre K-homology and index theory on Lie manifolds
Date21/03/2019
Horaire14:00 à 15:00
RésumeI consider so-called Lie manifolds, which can be viewed as an axiomatization of numerous different types of compactifications of complete non-compact manifolds with bounded geometry and prescribed behavior "at infinity". On such manifolds there is a pseudodifferential calculus and one can consider fully elliptic operators which give rise to Fredholm operators on appropriate Sobolev spaces. A problem, proposed by Victor Nistor, asks for a general index formula of Atiyah-Singer type, valid for Fredholm pseudodifferential operators contained in the Lie calculus. In this talk, which is based on joint work with Jean-Marie Lescure, I present a solution to the problem.
Salle2015
AdresseSophie Germain
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