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Oct 22, 2012 at 5:37 vote accept Mikhail Bondarko
Oct 22, 2012 at 2:05 comment added Emerton Dear Mikhail, Note that any $\ell$-adic rep'n of geometric origin is de Rham locally at $\ell$, by $\ell$-adic Hodge theory (what is usually called "$p$-adic Hodge theory), and so certainly the de Rham condition in the FM conjecture is necessary. The force of the conjecture is that it is also sufficient (along with the other obvious necessary condition of being unram. outside finitely many primes). Best wishes, Matthew
Oct 22, 2012 at 1:22 answer added Joël timeline score: 12
Oct 21, 2012 at 23:04 answer added Kevin Ventullo timeline score: 12
Oct 21, 2012 at 22:08 history asked Mikhail Bondarko CC BY-SA 3.0