**abstract:**
Schroedinger operators with quasi-periodic potentials were intensively studied
in the last few decades. Their spectral properties depend on the value of the
coefficient in front of the potential, so called coupling constant. For small
values of the coupling constant the spectrum is absolutely continuous, while
for large coupling constants the spectrum is pure point. Natural families of
Schroedinger operators with quasi-periodic potentials appear in the context of
the Aubry-Mather theory. We shall discuss the transition from the absolutely
continuous to the pure point spectrum for such families of Schroedinger operators.

Mon 9 Apr, 14:30 - 15:20, Aula Dini

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