Einladung zum Vortrag (Zoom) von Herrn Dr. Fabian Rupp (Universität Wien) am 02.05.2022 - 14:30 Uhr im Rahmen des Forschungsseminars Analysis


im Rahmen des Forschungsseminars Analysis hält am Montag, den 2. Mai 2022, um 14:30 Uhr,

Herr Dr. Fabian Rupp (Universität Wien) einen Vortrag zum Thema

Li-Yau inequalites for the Helfrich functional

Abstract: In order to study the shape of red blood cells, Canham and Helfrich suggested a variational model involving a curvature dependent energy functional. In the simplest case, this reduces to the Willmore functional, a well-studied quantity in conformal geometry. An essential tool in the study of the Willmore functional is an inequality of Li and Yau which implies that any immersed surface with energy strictly below $ 8 \pi $ must not intersect itself. In this talk, we will prove an extension of this inequality to the Helfrich energy. One crucial consequence is that smoothly embedded minimizers in the Canham-Helfrich model exist if the energy is not too large.

This is joint work with Christian Scharrer (Bonn).

Der Vortrag findet im Rahmen eines Zoom-Meetings statt. Bei Interesse an den Zugangsdaten bitte bei Herrn Prof. Mugnolo (delio.mugnolo@fernuni-hagen.de) melden.

mathinf.webteam | 04.04.2022