Timeline for Beilinson regulator: a road map
Current License: CC BY-SA 4.0
8 events
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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.
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S Apr 1, 2020 at 16:46 | history | suggested | KhashF | CC BY-SA 4.0 |
Grammar corrected, typos fixed.
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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 |