Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:defines |
A perfectoid space is a type of adic space satisfying certain completeness and perfection conditions over a perfectoid field.
|
| gptkbp:field |
gptkb:Mathematics
|
| gptkbp:hasSubfield |
gptkb:Algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Perfectoid Spaces
|
| gptkbp:introduced |
gptkb:Peter_Scholze
|
| gptkbp:introducedIn |
2011
|
| gptkbp:notableFor |
gptkb:p-adic_Langlands_program
Simplification of the proof of Deligne's weight-monodromy conjecture Proof of new cases of the weight-monodromy conjecture Theory of diamonds |
| gptkbp:notablePublication |
Perfectoid spaces, Publ. Math. Inst. Hautes Études Sci. 116 (2012), 245–313
|
| gptkbp:relatedTo |
gptkb:Prisms
Adic spaces Perfectoid fields Rigid analytic spaces |
| gptkbp:usedIn |
p-adic Hodge theory
Arithmetic geometry |
| gptkbp:bfsParent |
gptkb:Peter_Scholze
|
| gptkbp:bfsLayer |
4
|