**Chandrasheel R. Bhagwat**

TIFR

July 14, 2011

**On spectral analogues of strong multiplicity one theorem**:
We prove various spectral analogues of the classical strong
multiplicity one theorem in the context of compact locally symmetric
Riemannian manifolds. We also prove an analogue of the strong multiplicity one theorem for the length spectrum for even dimensional compact hyperbolic spaces. This is a joint work with Prof. C. S. Rajan.