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Titolo: Kähler embeddings between homogeneous spaces

Abstract: In this talk, after recalling the fundamental facts of the theory of Kähler homogeneous manifolds, we will show how to construct holomorphic isometric embeddings between them. Then, we will see how these embeddings can be used in order to address rigidity problems for homogeneous Kähler manifolds involving in particular Kähler-Ricci solitons and relatives.