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UID:20250312T172723EDT-55622Ftkhp@132.216.98.100
DTSTAMP:20250312T212723Z
DESCRIPTION:Spectra for non-selfadjoint operators and integrable dynamics.
 \n\nSpectra for non-selfadjoint operators often display fascinating featur
 es\, from lattices of eigenvalues for operators of Kramers-Fokker-Planck t
 ype to eigenvalues for operators with analytic coefficients in dimension o
 ne\, concentrated to unions of curves. In this talk\, we shall discuss spe
 ctra for non-selfadjoint perturbations of selfadjoint semiclassical operat
 ors in dimension 2\, assuming that the classical flow of the unperturbed p
 art is completely integrable. We give complete asymptotic expansions for a
 ll individual eigenvalues in suitable regions of the complex spectral plan
 e\, close to the edges of the spectral band. It turns out that those eigen
 values have the form of the 'legs in a spectral centipede' and are generat
 ed by suitable rational flow-invariant Lagrangian tori. This is joint work
  with Johannes Sjostrand.\n
DTSTART:20161111T180000Z
DTEND:20161111T190000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Michael Hitrik\, UCLA
URL:/mathstat/channels/event/michael-hitrik-ucla-26393
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