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Oct 26, 2011 at 6:44 comment added Kevin Buzzard Just to clarify -- although the concept of a Hodge-Tate representation is clearly (implicitly at least) in Tate's 1967 article (which also contains at least one deep theorem about them, namely that the Tate module of an ab var is H-T), the actual adjective "Hodge-Tate" is not explicitly mentioned there -- perhaps it was Serre who introduced the terminology in 1968. And no surprise really -- I have seen Tate, in a talk, considering "the module T:=projlim_n E[p^n] analysed by Weil", presumably because he was too modest to call it "the Tate module".
Oct 25, 2011 at 23:27 vote accept papinou
Oct 25, 2011 at 22:13 history answered ACL CC BY-SA 3.0