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edit approved Jun 23, 2015 at 15:38
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edit approved Jun 23, 2015 at 15:38
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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$k+2$), when restricted to G_{Qp}$G_{Qp}$, has Hodge-Tate weights {0, k+1}$\{0, k+1\}$.

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

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??

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 developed so much, maybe a modern exposition could have better notations and more insights, etc??

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Hodge–Tate structures of modular forms

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??