Abstract: Andeson localization means an operator has pure point spectrum with exponential decaying eigenfunctions. Physical models often comes as an ergodic family of operators and usually Anderson localization holds only for operators in a full measure subset of  the family. And it is often difficult to tell precisely which one do have Anderson localization. In this talk, I will present our recent results on this problem for quasi-periodic operators. Our method is reducibility, a method in dynamical systems. 

The talk is based on a joint work with Lingrui Ge.