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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 âfundamental gapâ of simplicial domains in Rn in general, and the properties of the âgap functionâ 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. |
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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)
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