Timeline for Can one ignore primes lying over $l$ in the Fontaine-Mazur conjecture? Counterexamples?
Current License: CC BY-SA 3.0
5 events
when toggle format | what | by | license | comment | |
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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 |