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Updated: Thu, 02/13/2025 - 09:17

Due to today’s storm, º«¹úÂãÎè classes are cancelled. Please note that campuses remain open, including Libraries, according to their schedules. For details, see the Alert email.

En raison de la tempête, les cours à º«¹úÂãÎè sont annulés aujourd’hui. Veuillez noter que les campus restent ouverts, y compris les bibliothèques selon leurs horaires. Pour plus de détails, voir le courriel d'alerte.

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Mikhail Karpukhin, Caltech, Daniel Stern, University of Chicago

Monday, April 25, 2022 12:00to13:00

GEMSTONE mini-course: Harmonic maps, minimal surfaces, and shape optimization in spectral geometry.

Lecture 1
April 25
Introduction to eigenvalue optimisation problems for surfaces. Hersch's theorem: round metric on the sphere maximizes the first eigenvalue. Li-Yau's conformal volume with an application to the sharp eigenvalue bounds on the projective plane.

Lecture 2April 27Min-max theory for the energy of sphere-value valued maps. Regularity of conformally maximizing metrics.Lecture 3April 29 Stability of maximizing metrics. Applications to the optimization of Steklov eigenvalues on surfaces with many boundary components.

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Tue, 04/19/2022 - 08:39
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