Classical and New Problems in Geometric Analysis – Mattia Fogagnolo (Università di Trento)


Sala Riunioni (Dip. Matematica).


In the first part of the talk, we will review the classical Alexandrov Theorem, the Isoperimetric Inequality and the Willmore Inequality in Euclidean spaces, trying to highlight their mutual connections and to discuss how they can be proved through PDE’s techniques. In the second part of the talk we will consider these problems in relevant families of Riemannian manifolds, approaching the frontier of modern research on these topics.

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