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Startpage > News > Calendar of Events > Shape of a triangle

Veranstaltungskalender

Can one hear the shape of a triangle?

Oberseminar Analysis und Theoretische Physik, 06.11.12

Kurzbeschreibung

This talk is based on joint work with Zhiqin Lu. Many problems in spectral theory are motivated by the question: what geometric properties can be detected if one knows certain spectral information? In this talk, I will discuss the “fundamental gap” of simplicial domains in Rn in general, and the properties of the “gap function” on the moduli space of Euclidean triangles in particular. The fundamental gap is the difference between the first two Dirichlet eigenvalues of the Laplacian, and the gap function is this difference multiplied by the square of the diameter of the domain. It turns out that the gap function detects the equilateral triangle within the moduli space of Euclidean triangles.

Weitere Informationen

www.ifam.uni-hannover.de/~escher/de/os_anal.php

Referent/innen

Dr. Julie Rowlett, Georg-August-UniversitÀt Göttingen

Veranstalter

Institut fĂŒr Analysis

Termin

Dienstag, 06. November 2012, 15:00 bis 17:00 Uhr

Ort

HauptgebÀude (GebÀude 1101, G005)
Welfengarten 1, 30167 Hannover

Ein Verschieben des Kartenausschnitts ist mit gedrückter Maustaste möglich.

Die Karte wurde uns freundlicherweise von Herrn Dr. Tobias Dahinden, Institut für Kartographie und Geoinformatik zur Verfügung gestellt.


Zusatzinformationen


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