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Josef Greilhuber (Stanford University)
Tuesday 03 February 2026, 12:15-12:45
Parametric deformation arguments in spectral geometry
- đ¤ Speaker: Josef Greilhuber (Stanford University)
- đ Date & Time: Tuesday 03 February 2026, 12:15 - 12:45
- đ Venue: Seminar Room 1, Newton Institute
Abstract
In this talk, we will explore three seemingly disparate questions: Do there exist sets on which a nonzero, but finite number of linearly independent harmonic functions can vanish? Are the nodal patterns that arise in Chladni’s famous clamped plated experiment “dense” at the scale of their characteristic wave-length? Is the spectrum of the curl operator on a smoothly bounded domain generically simple? One may shed light on all three of these questions by considering parametric deformations of certain underlying spectral problems. Part of this talk is joint work with Alberto Enciso and Willi Kepplinger (ICMAT, Madrid).
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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