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SUMMARY:Parametric deformation arguments in spectral geometry - Josef Grei
 lhuber (Stanford University)
DTSTART:20260203T121500Z
DTEND:20260203T124500Z
UID:TALK239608@talks.cam.ac.uk
DESCRIPTION:In this talk\, we will explore three seemingly disparate quest
 ions: Do there exist sets on which a nonzero\, but finite number of linear
 ly independent harmonic functions can vanish? Are the nodal patterns that 
 arise in Chladni&rsquo\;s famous clamped plated experiment &ldquo\;dense&r
 dquo\; at the scale of their characteristic wave-length? Is the spectrum o
 f the curl operator on a smoothly bounded domain generically simple? One m
 ay shed light on all three of these questions by considering parametric de
 formations of certain underlying spectral problems. Part of this talk is j
 oint work with Alberto Enciso and Willi Kepplinger (ICMAT\, Madrid).
LOCATION:Seminar Room 1\, Newton Institute
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