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ISAAC 2003
August 11-16, 2003
York University
Toronto, ON, Canada

Organizers
Man Wah Wong

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SubRiemannian Geometry and Subelliptic PDE's
by
Peter Greiner
University of Toronto, Canada

I shall discuss the connection between complex Hamiltonian mechanics and subRiemannian geometry on the Heisenberg group. The subRiemannian geometry induced by the Heisenberg sublaplacian allows one to construct the subelliptic heat kernel and its small time asymptotics. I shall extend some of these concepts to higher step operators by discussing the geometry of a particular 3-step example.

Date received: June 9, 2003

Copyright © 2003 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 Mathematical Conference Abstracts. Document # calr-07.