Timeline for Motivic Galois correspondence
Current License: CC BY-SA 4.0
6 events
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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 |