Seminario EDPs y Mecánica de Fluidos

Controlling multiplicity by curvature

Ponente:  Fabian Rupp (Universidad de Viena)
Fecha:  jueves 13 de abril de 2023 - 11:30
Lugar:  Aula Naranja, ICMAT


A classical inequality of Li and Yau gives a lower bound on the Willmore energy of a surface in terms of its multiplicity at an arbitrary point. This is a key tool for proving regularity of minimizers or convergence of the associated geometric flows. We discuss recent extensions to other curvature-dependent bending energies, such as Euler's elastic energy or the Canham-Helfrich functional.