Statements (57)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Architect
|
| gptkbp:associatedWith |
Lie groups
number theory representation theory algebraic topology homotopy theory topological groups topological spaces homological algebra modular forms sheaf theory Galois cohomology Galois representations sheaf cohomology arithmetic geometry formal groups topos theory derived categories derived functors spectral sequences homotopical algebra motivic homotopy theory algebraic cycles arithmetic topology algebraic groups modular forms theory group cohomology cohomological dimension Frobenius morphism algebraic geometry over fields. categorical algebra crystalline cohomology derived algebraic geometry derived categories of sheaves formal schemes local fields theory non-archimedean analysis p-adic analysis spectral algebraic geometry stable homotopy tilting theory algebraic_K-theory moduli_stacks perfectoid_spaces |
| gptkbp:characterizedBy |
gptkb:perfectoid_fields
|
| gptkbp:defines |
Perfectoid spaces
|
| gptkbp:hasRelatedPatent |
local fields
F-gauges p-adic cohomology moduli_problems |
| gptkbp:hasSpecialty |
complete
admissible uniformly bounded |
| https://www.w3.org/2000/01/rdf-schema#label |
Perfectoid Rings
|
| gptkbp:introduced |
gptkb:Peter_Scholze
|
| gptkbp:relatedTo |
p-adic_Hodge_theory
|
| gptkbp:usedIn |
Algebraic_Geometry
|