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Timeline for Beilinson regulator: a road map

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Apr 3, 2020 at 12:09 comment added François Brunault Beilinson's conjecture was originally formulated using K-theory, but a more modern approach is to use motivic cohomology (which is the same as long as we work with non-singular varieties and with rational coefficients). So it is not necessary that you learn K-theory (but the motivic approach uses heavy machinery like A^1-homotopy theory). You can find good references on Beilinson's conjectures here: mathoverflow.net/questions/126699/… Personally I like Ramakrishnan's survey "Regulators, algebraic cycles, and values of L-functions" very much.
Apr 2, 2020 at 11:37 comment added Matvey Tizovsky Thanks I will see this paper! What about the background in K-theory? What do you suggest to know about it in general for a depth knowledge of this subject (Beilinson conjectures, regulators etc...)? Thanks!
Apr 1, 2020 at 17:03 comment added François Brunault You could begin with examples. For K_2 of curves, see Dokchitser--de Jeu--Zagier, Numerical verification of Beilinson's conjecture for K_2 of hyperelliptic curves.
S Apr 1, 2020 at 16:46 history edited efs CC BY-SA 4.0
Grammar corrected, typos fixed.
S Apr 1, 2020 at 16:46 history suggested KhashF CC BY-SA 4.0
Grammar corrected, typos fixed.
Apr 1, 2020 at 16:11 review Suggested edits
S Apr 1, 2020 at 16:46
Apr 1, 2020 at 14:30 review First posts
Apr 1, 2020 at 16:11
Apr 1, 2020 at 14:25 history asked Matvey Tizovsky CC BY-SA 4.0