Timeline for Galois descent for K-groups (or for étale cohomology groups)
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 17, 2011 at 13:12 | vote | accept | Alex B. | ||
| May 9, 2011 at 11:02 | answer | added | Alex B. | timeline score: 3 | |
| May 5, 2011 at 22:09 | comment | added | François Brunault | The following question might be relevant : mathoverflow.net/questions/11209/… (see in particular John Rognes' answer). | |
| May 5, 2011 at 17:18 | comment | added | Mikhail Bondarko | Sorry; I didn't pay enough attention to your restrictions. Still, I would bet that you only have a comparison map and not an isomorphism. | |
| May 5, 2011 at 16:03 | comment | added | Alex B. | I don't know what you mean by "ignores the infinitely divisible parts of K-groups". The K-groups in question are finitely generated abelian groups with known ranks and known torsion. There is no infinitely divisible part. | |
| May 5, 2011 at 15:32 | comment | added | Mikhail Bondarko | The Quillen-Lichtenbaum conjecture: 1. Describes motivic cohomology, that is certainly related with K-theory, but only via certain spectral sequences. 2. Ignores the infinitely divisible part of K-groups. | |
| May 5, 2011 at 12:30 | comment | added | Alex B. | @Misha I am not offering an alternative version of the Bloch-Kato conjecture. But it is known that the Bloch-Kato conjecture implies the Quillen-Lichtenbaum conjecture, which is the isomorphism between K-theory and étale cohomlogy that I quoted. I just said "by Bloch-Kato" because that's what Rost,Voevodsky, et aliae have proven. | |
| May 5, 2011 at 6:08 | comment | added | Mikhail Bondarko | Your form of the Bloch-Kato conjecture surprises me.:) As for the basic question, I'm affraid that you just have a spectral sequence that converges to you left hand size, and that you have other non-zero terms in it (besides your right hand side). | |
| May 5, 2011 at 3:31 | history | asked | Alex B. | CC BY-SA 3.0 |