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\textbf{SPEAKER}:
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%\textbf{SPEAKER}:
Peter Hislop, University of Kentucky
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{\bf TITLE}:
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Eigenvalue statistics for random Schr\"odinger operators
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{\bf ABSTRACT:}\\
 

Random Schr\"odinger operators model the propagation of noninteracting electrons in disordered media. The study of random Schr\"odinger operators combines the spectral theory of self-adjoint operators and probability theory.
I'll review the basic spectral properties of these operators such as the deterministic spectrum and Anderson localization.
Estimates for the eigenvalues of the corresponding Schr\"odinger operators restricted to finite regions, such as the Wegner and Minami estimates, will be presented. These estimates will be used to
characterize the local eigenvalue statistics and level spacing statistics for various models and energy regimes.




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