Weak immersions with second fundamental form in a critical Sobolev space.
par
Dorian Martino(ETH Zürich)
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Europe/Paris
Amphi Schwartz
Amphi Schwartz
Description
Over the past decade, the generalization of the Willmore energy to even dimensional submanifolds of the Euclidean space has been subject to numerous works, due to their relation to renormalized volume of minimal submanifolds in Poincaré-Einstein manifolds and their applications to AdS/CFT correspondence. I will present an analytical framework, recently developed in a collaboration with Tristan Rivière, in order to address variational problems concerning these generalized Willmore energies.