In this talk, I will focus on one of the key ingredients in constructing Galois representations for torsion classes: the Hodge-Tate period morphism. This is a $G(A_f)$-equivariant map from a perfectoid Shimura variety into a flag variety which only has an action of $G(Q_p)$ and can be thought of as a $p$-adic analogue of the embedding of the upper half plane into the complex projective line. I will motivate and describe a new, canonical construction of the Hodge-Tate period morphism and of automorphic vector bundles for Shimura varieties of Hodge type. This is part of ongoing joint work with Peter Scholze.