09.07.2025, 10:15
– 2.09.0.17
Forschungsseminar: Gruppen und Operatoralgebren
On factoriality of the Neretin group von Neumann algebra
Basile Morando (ENS Lyon)
Nicolas Marque
When one considers a surface in $\R^3$, the mean curvature quickly appears as a node of geometric insight, tying itself to isoperimetry, elasticity, and regularity. From it one can naturally build a quadratic energy linked with the elastic properties of the surface: the Willmore energy.
We will see how insights on Willmore informs our knowledge of the surface, and how its pecular behavior generates rich and surprising phenomena for its critical points: noncompact bubbling. If time allows, we will also look at situations where the aforementioned knowledges can be applied, notably to GR, or the sphere eversion.