Lecture Event
SFB-Seminartag
Dr. Witt, Dr. Rossetti
27 Jun 2006, 15:00 – 18:00
Talk
Isospectrality in standard geometries
Dr. Juan Pablo Rossetti
27 Jun 2006, 16:30 – 17:30
After introducing the short necessary background, we will survey some results and problems concerning isospectrality of Riemannian manifolds M of constant curvature K.
We will focus on the relation between the Laplace spectrum of M and the closed geodesics in M, in the cases K=-1 and K=0; and also on the p-spectrum, i.e., the spectrum of the Laplace-Bertrami operator acting on smooth p-forms on M. Many of the examples we will see are in dimensions 2 and 3, then it is possible to draw them.
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