Some constructions of higher Willmore energies and equations

by Mr Rod Gover (Université d'Auckland)

Friday Jul 11, 2025, 11:00 AM → 12:00 PM Europe/Paris

1180 (Bât. E2) (Tours)

The Willmore energy and equation for surfaces have a long history that dates back two centuries. Recently it was shown that there are analogous conformally invariant quantities for higher dimensional submanifolds. We review some holographic approaches, meaning the study of the submanifold geometry via the asymptotics of a solution to a suitable adapted PDE problem. Next we show that, at least for even dimensional immersed in conformally flat manifolds, there is a simple more direct construction that is still manifestly conformally invariant.

This is joint work with Ben Allen.