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May 27, 2017 at 14:11 comment added Bonbon @Oliver Oh I got it ,grateful for your help!!!
May 27, 2017 at 7:45 comment added Olivier @Bonbon It depends what you want to do. If you want to retrace the history of the subject, many other references can (and should) be mentioned. But if your aim is to understand a proof of the theorem, then you can read Falting's article (proving $\rho_f|G_{\mathbb Q_p}$ is Hodge-Tate), then Tsuji's (proving it is potentially semi-stable hence de Rham) and finally Saito's (proving the Weil-Deligne representation is the one attached to $\pi(f)_p$ by the Local Langlands Correspondence.
May 26, 2017 at 20:17 comment added Bonbon Can you see me?@Olivier
May 25, 2017 at 18:31 comment added Bonbon Thanks for your help! It seems that Faltings just proved that the represntation is Hodge-Tate (instead of de Rham, so as he did in his paper "p-adic Hodge Theory"), so did I missed anything or there is some further references?
May 22, 2017 at 10:54 vote accept Bonbon
May 22, 2017 at 10:15 history answered Olivier CC BY-SA 3.0