Timeline for Grothendieck rings and the Tannakian formalism
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jul 1, 2021 at 12:32 | comment | added | pupshaw | I know you are asking about K_0(Var) and Mot, but just as in Will Sawin's answer I'd like to suggest looking at K_0(Mot). In here you can say very concretely what is lost: K_0 sees no difference between split and non-split extensions, and in particular, every mixed motive agrees with the sum of its weight-graded pieces in this K_0. I think you could be very concrete about this in the case of say, hodge structures, K_0 is somehow only seeing the reductive part of the motivic fundamental group. | |
| Jun 30, 2021 at 21:16 | history | edited | YCor |
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| Jun 30, 2021 at 21:13 | answer | added | Will Sawin | timeline score: 2 | |
| Jun 30, 2021 at 14:17 | history | asked | THC | CC BY-SA 4.0 |