Vortrag am

Donnerstag, 30.10.2014

Victor Nistor, Universit├Ąt Lorraine

"Analysis on Lie manifolds"

I will discuss the geometry of a class of non-compact manifolds modeled by Lie algebras of vector fields that is well suited to study various analytical questions on singular spaces. I will present two applications: one to the determination of the essential spectra of Laplace and Dirac operators on manifolds with poly-cylindrical ends and one to the well posedness of the Laplacian on polyhedral domains. I will also discuss some connections to index theory.