MGSC Website: http://math.uci.edu/~mgsc/
The almost Matthieu operator arises as a model for Bloch electrons in a magnetic field. Aubry and Andre famously made a conjecture about the spectral properties of this operator more than thirty years ago. In the process of its study, variations of the conjecture arose naturally. Although the original conjecture was recently settled, new problems remain unsettled. We discuss some of these open problems and possible methods (and their shortcomings) to their solution.
Svetlana Jitomirskaya is currently Rajinder's advisor.
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Pizza will be served after the talk.