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CATEGORIES:Lectures & Presentations
DESCRIPTION:David Damanik\, Rice University\n\nIn this talk we discuss the
topological structure of the spectrum of almost periodic Schr\"odinger oper
ators\, both in one dimension and in higher dimensions. The problem is quit
e well understood in the one-dimensional case and the talk will briefly des
cribe some of the known results. The question is significantly less well un
derstood in higher dimensions. The Bethe-Sommerfeld conjecture for periodic
potentials serves as a guiding principle for the different mechanisms and
phenomena that should be expected to play a role. Passing from periodic to
non-periodic almost periodic potentials\, we discuss both positive and nega
tive results in the spirit of the Bethe-Sommerfeld conjecture.
DTEND:20211103T235000Z
DTSTAMP:20230930T064016Z
DTSTART:20211103T230000Z
LOCATION:Skye Hall (Surge Hall)\, 284
SEQUENCE:0
SUMMARY:The topological structure of the spectrum of almost periodic Schr\"
odinger operators
UID:tag:localist.com\,2008:EventInstance_38209115003557
URL:https://events.ucr.edu/event/the_topological_structure_of_the_spectrum_
of_almost_periodic_schrodinger_operators
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