Title: Inverse spectral problems on Riemann surfaces and locally symmetric spaces
Speaker: Carolyn Gordon
Speaker Info: Dartmouth
Special Note: Note unusual date.
In inverse spectral geometry, one asks the extent to which spectral data, such as the spectrum of the Laplacian on a Riemannian manifold, encode the geometry or topology of the manifold. We will first consider compact Riemann surfaces and ask whether their is any relationship between the spectrum of the Laplacian and the Jacobian of the Riemann surface. We will also address more general locally symmetric spaces. Other inverse spectral problems, such as the spectrum in the presence of a magnetic field, may also be considered.Date: Tuesday, May 11, 2010