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Timeline for Motivic Galois correspondence

Current License: CC BY-SA 4.0

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Mar 6, 2021 at 15:29 history edited Mikhail Bondarko CC BY-SA 4.0
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Mar 5, 2021 at 10:42 comment added Mikhail Bondarko I know very little about this matters; yet my impression that needs some Langlands-type conjectures to make reasonable(??) L-functions motivic. And several people studied the motivic Galois group. This is a rather complicated thing. and Joseph Ayoub is a specialist.
Mar 4, 2021 at 19:49 comment added Sylvain JULIEN @Will: should the notion of L-rig introduced in mathoverflow.net/questions/372349/… be categorized, would it give rise to a Tannakian category and that way "explain" why L-functions of arithmetic interest ought to be motivic? I can ask a separate question if needed.
Mar 4, 2021 at 19:12 comment added Will Sawin In any Tannakian category, including the conjectural Tannakian category of motives, there is a Galois correspondence between subcategories stable under subobjects, quotients, duals, sums, and tensor products (I might be missing a condition there) and normal subgroups. I don't know how much more there is to say there so I don't know if anyone has studied this.
Mar 4, 2021 at 17:47 review First posts
Mar 4, 2021 at 19:12
Mar 4, 2021 at 17:42 history asked Angel65 CC BY-SA 4.0