I will discuss some spectral analogues of the classical strong multiplicity one
theorem for modular forms, in the context of compact, Riemannian locally
symmetric spaces.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/158