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\textbf{SPEAKER}:
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Stephen P.\ Shipman, Louisiana State University
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{\bf TITLE}:
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Reducibility of the Fermi and Bloch varieties for periodic operators
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{\bf ABSTRACT:}\\ 
The (ir)reducibility of the Fermi and Bloch varieties has important consequences for the spectral theory of periodic operators.  I will present an overview of the heirarchy of reducibility for Schrödinger operators and discuss recent progress and goals in this area.







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