On the remiainder in weyl's law for heisenberg manifolds

Presented by:
Y Petridis [New York]
Date:
Tuesday 29th June 2004 - 16:00 to 16:40
Venue:
INI Seminar Room 1
Abstract:

We examine the error term in Weyl's law for the distribution of Laplace eigenvalues for Heisenberg manifolds equipped with a left-invariant metric. We formulate conjectures on the optimal size and evidence for the conjectures. We explain the analogies with the classical Dirichlet divisor problem in analytic number theory. This program has been developped jointly with D. Chung, M. Khosravi and J. Toth.