I will discuss
1. discontinuous groups Γ for symmetric spaces X with indefinite metric,
2. spectral analysis of the Laplacian on X/Γ.
In this situation, the Laplacian is no more an elliptic operator.
Taking an odd dimensional ant-de Sitter manifold and a three dimensional ''indefinite projective space'' as examples, I plan to illustrate a new idea for the construction of L2 spectrum which is stable under the deformation of discontinuous groups.
[ program (pdf) ]
© Toshiyuki Kobayashi