|
shupp_01

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.



Angelegt am Mittwoch, 23.09.2020 10:23 von shupp_01
Geändert am Mittwoch, 21.10.2020 09:54 von shupp_01
[Edit | Vorlage]

Veranstaltungen am Mathematischen Institut
Oberseminare und sonstige Vorträge