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Beschreibung:
We consider surfaces which minimize a nonlocal perimeter functional andwe discuss their interior regularity and rigidity properties, in a quantitative and qual-itative way, and their (perhaps rather surprising) boundary behavior. We present atleast a sketch of the proofs of these results, in a way that aims to be as elementaryand self contained as possible, referring to the papers [8, 27, 10, 3, 20, 19, 12] for fulldetails.