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It would be worth if we have a current state of the conjectures of

Propriétés conjecturales des groupes de Galois motiviques et des représentations l-adiques. J P Serre. In Motives, Seattle

And most important, which ones have been proved..?

Here is an example of work dedicated to the solution of one of these conjectures.

Has there been any proof of some of them since then?

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    $\begingroup$ Can you post the conjectures? $\endgroup$
    – user19475
    Dec 20, 2017 at 5:44
  • $\begingroup$ @Keller, they are a lot. Of out of 13 sections, each section has approximately 10 conjectures. I think the question ask for a summary of a well informed person (?). ams.org/books/pspum/055.1 $\endgroup$
    – tttbase
    Dec 21, 2017 at 15:08

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