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SUMMARY:Resonances sets of Schrödinger operators
DTSTART:20261030T131500Z
DTEND:20261030T141500Z
DTSTAMP:20261027T205200Z
UID:indico-event-1686@math-events.uni-bonn.de
DESCRIPTION:Speakers: Pavel Gubkin (Univesity of Bonn)\n\nResonances of Sc
 hrödinger operator $\\mathcal{H}_q u = -u'' + qu$ are zeroes of the corre
 sponding entire Jost function with negative imaginary part. Resonances pla
 y an important role in the spectral theory\, in particular\, they determin
 e the potential $q$ of the operator uniquely up to the finite number of bo
 und states.\nFor a discrete set $\\Lambda$ of points in the complex plane 
 define its Poisson density as$$P_{\\Lambda}(x) = \\sum_{z\\in \\Lambda} \\
 frac{|\\Im z|}{|z - x|^2}.$$In the talk we will characterize resonances se
 ts in terms of the Poisson density and prove that\, for every set $\\Lambd
 a$  with  uniformly bounded density $P_{\\Lambda}$\, there exists a pote
 ntial whose resonance set contains $\\Lambda$. The talk is based on the on
 going work with Yurii Belov.\n\nhttps://math-events.uni-bonn.de/event/1686
 /
LOCATION:Endenicher Allee 60\, Seminarraum 0.011 (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1686/
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