The title refers to the paper of Faltings:

Hodge-Tate structures and modular forms.

Math. Ann. 278 (1987), no. 1-4, 133–149.

The main theorem in the paper says that the associated Galois rep to a modular form (of weight k+2), when restricted to G_{Qp}, has Hodge-Tate weights {0, k+1}.

My question is, does there exist any more easier-to-understand expositions of this result? In particular, since p-adic Hodge theory has so far developped so much, maybe a modern exposition could have better notations and more insights, etc??