| Abstract: |
The task of an inverse spectral geometer is to extract information about a manifold from the Laplace eigenvalue spectrum
of that manifold. One way to do this is to study the wave invariants of a manifold. These invariants contain geometric
information about the manifold and are determined by the manifold's Laplace spectrum.
In a recent project with Alejandro Uribe (Michigan), the question in the title of this talk was raised but not quite
resolved. In the talk we will begin by looking at an example to become familiar with Riemannian orbifolds and their
Laplace spectra. We'll then set up the analytic machinery that suggests an answer to this question might rely on the
behavior of conjugacy classes in a Lie group.
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