Atlas home || Conferences | Abstracts | about Atlas

5th International ISAAC Congress
July 25-30, 2005
Department of Mathematics and Informatics, University of Catania
Catania, Sicily, Italy

Organizers
International ISAAC Board, Local organizing committee: F. Nicolosi (chairman), S. Bonafede, V. Cataldo, P. Cianci, G.R. Cirmi, S. D'Asero, G. Fiorito, L. Giusti, S. Leonardi, P.E. Ricci

View Abstracts
Conference Homepage

Heat Kernel on Nilpoten Lie Groups
by
Kenro Furutani
Science University of Tokyo

I will discuss the structure of the integral representation of the heat kernels of sub-Laplacian and Laplacian on 2-step nilpotent Lie groups. Mainly I illustrate the role of the complex Hamilton-Jacobi theory and a similar quantity with Van-Vleck determinant in the integral representation of heat kernels. Then I will explain the hierarchy between heat kernels on homogeneous manifolds of nilpotent Lie groups. Finally I will talk about the possibility toward the construction of the heat kernel for Engel group (= the lowest dimensional 3-step case) and spectral asymptotics of sub-Laplacian on Heisenberg manifolds.

PDF

Date received: May 27, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # card-08.