Oberseminar Differentialgeometrie: Daniel Stern (Chicago), Vortrag: Min-max harmonic maps and extremal metrics for Laplacian eigenvalues

Montag, 02.11.2020 16:15 im Raum Zoom
Mathematik und Informatik

Zoom-Meeting: https://wwu.zoom.us/j/97461739978 Abstract: I?ll describe recent work with Mikhail Karpukhin, in which we relate the problem of maximizing Laplacian eigenvalues over unit-area metrics on a given Riemann surface to natural constructions of harmonic maps to high-dimensional spheres, via min-max methods for the Dirichlet energy. I?ll explain how our methods give a new construction of conformal metrics maximizing the first and second Laplacian eigenvalues, and yield new estimates and rigidity results for other shape optimization problems in spectral geometry.

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Geändert am Mittwoch, 21.10.2020 09:54 von shupp_01
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