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Einladung zum Vortrag (Zoom) von Herrn Prof. Gabriel Rivière (Universität Nantes) am 10.01.2024 - 15:00 Uhr im Rahmen des Forschungsseminars Analysis
[10.01.2024]Im Rahmen des Forschungsseminars Analysis hält am Mittwoch, den 10. Januar 2024, um 15:00 Uhr,
Herr Prof. Gabriel Rivière (Universität Nantes) einen Vortrag zum Thema:
Orthospectrum of convex bodies and Poisson formulas
Abstract: I will start by describing two "variants" of the Poisson formula that are due to Guinand and Meyer. I will then show how these two formulas can be interpreted in terms of the orthospectrum (a family of characteristic lengths) of a convex body. With that interpretation in mind, Guinand-Meyer’s formulas correspond to the case where the convex body is reduced to a point in dimension 3. I will explain how this formula can be extended to two general (strictly) convex bodies and how it encodes certain geometric quantities (mixed volumes). This was obtained in a joint work with Nguyen Viet Dang and Matthieu Léautaud.
Der Vortrag findet im Rahmen eines Zoom-Meetings statt. Bei Interesse an den Zugangsdaten bitte bei Herrn PD Dr. habil. Joachim Kerner (joachim.kerner) melden.
