"Spectral Theory and Mathematical Physics"
In honor of Vladimir Georgescu
Cergy-Pontoise, June 21-24, 2016.
Photo Credit: Cergy - Axe majeur,
www.cergypontoise.fr/jcms/p2_85721/fr/le-patrimoine-moderne
| Program Spyros Alexakis Kaïs Ammari Jean-Marc Bouclet Jan Derezinski Clotilde Fermanian Kammerer Christian Gérard Sylvain Golénia Dietrich Häfner Matti Lassas Mathieu Lewin Jacob Schach Moller Francis Nier Victor Nistor Benoit Pausader Main page |
Victor Nistor: Cross-product algebras and essential spectra: applications to the N-body problem Abstract: I will begin by reminding some results due to Georgescu and others on how to use cross-product algebras and their representations to determine the essential spectrum of operators affiliated to these algebras. Then I shall use these results to determine the essential spectrum of N-body hamiltonians with asymptotically homogeneous interactions. At the end of my talk, I will briefly discuss some extensions of these results to asymptotically hyperbolic and other spaces using the related concept of a groupoid. The results of this talk are based on joint works with Georgescu, Lauter, Monthubert, and Prudhon. |
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