Prof. Victor Nistor (IECL, Metz):
Analysis on Riemannian singular and noncompact spaces and Lie algebroids
Zeit und Ort
Donnerstag, 8.12.16, 17:00-18:00, Hörsaal II, Albertstr. 23b
Zusammenfassung
After reviewing the definition of a Lie algebroid and a related\nSerre-Swan theorem, I will explain how Lie algebroids can be used to\nmodel simple singularities starting with conical and edge\nsingularities. Then I will explain how the structural algebroid, which\nplays the role of the tangent space, leads to a natural class of\nRiemannian metrics, called "compatible metrics." One of the main\nresults gives a connection between the structure of the Lie algebroid\nand the analysis of the geometric operators associated to a compatible\nmetric (Laplace, Dirac, ... ). This results expresses Fredholm\ncriteria in terms of operators invariant with respect to suitable\ngroups, which allows to use tools from harmonic analysis. These\nresults are part of joint works with B. Ammann, R. Lauter,\nB. Monthubert, and others