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UID:20250802T190632EDT-6013vFlHnD@132.216.98.100
DTSTAMP:20250802T230632Z
DESCRIPTION:Seminar Spectral Geometry\n	Visiter le site Internet / Visite th
 e Web site: https://archimede.mat.ulaval.ca/agirouard/SpectralClouds/\n\nT
 itle: Spectral shift via lateral variation\n\nAbstract: Our study is motiv
 ated by earlier results about nodal count of Laplacian eigenfunctions on m
 anifolds and graphs that share the same flavor: the nodal count’s ”deviati
 on” is equal to the Morse index of a certain ”energy functional” . In the 
 hindsight\, in all these results\, the nodal count can be understood as th
 e spectral shift resulting from perturbing the operator in an appropriate 
 way. This brings us to the following general result (joint with G. Berkola
 iko): the spectral shift can be recovered as the stability (Morse) index o
 f the eigenvalue with respect to small ”lateral” variations of the perturb
 ation.\n
DTSTART:20210222T170000Z
DTEND:20210222T180000Z
SUMMARY:Peter Kuchment (Texas A&M University)
URL:/mathstat/channels/event/peter-kuchment-texas-am-u
 niversity-328392
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