On the remiainder in weyl's law for heisenberg manifolds
Tuesday 29 June 2004, 16:00-16:40
Seminar Room 1, Newton Institute
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.