SEMINAIRE MERCREDI 3 MARS 2004 16 heures Salle Séminaire 5 Centre de Physique Théorique Marseille-Luminy Herman Schulz-Baldes Technische Univ. Berlin Title: Quantification des courants de bords et du drift de Lorentz dans l'effet Hall quantique Abstract: For a Magnetic Hamiltonian on a half-plane given as the sum of the Landau Operator with Dirichlet boundary conditions and a random potential, a quantization theorem for the edge current is proven. This shows that the concept of edge channels also makes sense in presence of disorder. Moreover, Gaussian bounds on the heat kernel and its covariant derivatives are obtained.