Isoperimetric constrained Willmore tori

Speaker:

Christian Scharrer

Affiliation:

University of Warwick

Date:

Thu, 09/12/2021 - 16:30 - 17:30

Parent event:

Oberseminar Differentialgeometrie [2]

Meeting-ID: 973 8400 7043
For password please contact Stephan Stadler (stadler@mpim-bonn.mpg.de).

In order to explain the bi-concave shape of red blood cells, Helfrich proposed to study the minimisation of a bending energy amongst closed surfaces with given fixed area and volume. In the homogeneous case, the Helfrich functional simplifies to the scaling invariant Willmore functional.
Thus, for the minimisation, the two constraints on area and volume reduce to a single constraint on the scaling invariant isoperimetric ratio. This talk is about two strict inequalities that lead to existence of smoothly embedded isoperimetric constrained Willmore tori.