Quillen-Lichtenbaum conjecture
GPTKB entity
Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
fields
schemes |
| gptkbp:concerns |
relationship between algebraic K-theory and étale cohomology
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:algebraic_K-theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Quillen-Lichtenbaum conjecture
|
| gptkbp:proposedBy |
gptkb:Stephen_Lichtenbaum
gptkb:Daniel_Quillen |
| gptkbp:provenBy |
gptkb:Vladimir_Voevodsky
gptkb:Fabien_Morel gptkb:Markus_Rost |
| gptkbp:relatedTo |
gptkb:Milnor_K-theory
gptkb:Bloch-Kato_conjecture motivic cohomology |
| gptkbp:sentence |
For a field and a prime l, the l-adic K-theory of the field is closely related to its l-adic étale cohomology.
|
| gptkbp:status |
proven
|
| gptkbp:yearProposed |
1970s
|
| gptkbp:bfsParent |
gptkb:higher_K-theory
|
| gptkbp:bfsLayer |
6
|