Pure Maths Colloquium: Bounds on the spectral shift function and applications
16 March 2009 16:15 in CM221
The spectral shift function (SSF) of a pair of selfadjoint operators measures the net amount of spectrum shifted by the perturbation (i.e. the difference between the two operators). We present bounds on the SSF, abstract ones as well as specific ones for Schroedinger operators. Thereafter we discuss several applications in the theory of periodic and random Schroedinger operators.