Perfectoid Spaces

GPTKB entity

Statements (56)
Predicate Object
gptkbp:instance_of gptkb:Mathematics
gptkbp:characterized_by gptkb:Perfectoid_Rings
gptkbp:developed_by gptkb:Peter_Scholze
gptkbp:has_applications_in Arithmetic Geometry
gptkbp:has_connection_to gptkb:Mathematics
Tate's Theorem
https://www.w3.org/2000/01/rdf-schema#label Perfectoid Spaces
gptkbp:involves Topological Spaces
gptkbp:is_a Type of Space
gptkbp:is_applied_in Number Theory
Theoretical Mathematics
gptkbp:is_associated_with p-adic Analytic Spaces
gptkbp:is_atype_of gptkb:architecture
gptkbp:is_characterized_by Perfectoid Structure
gptkbp:is_connected_to gptkb:Frobenius_Morphism
Etale Cohomology
gptkbp:is_considered Mathematical Research
Geometric Representation Theory
gptkbp:is_considered_in_depth_in Advanced Algebraic Geometry
gptkbp:is_examined_in Mathematical Research
Algebraic Topology
Algebraic Geometers
gptkbp:is_explored_in gptkb:researchers
Mathematicians
Modern Algebra
Homotopy Theory
gptkbp:is_explored_in_research_on Non-Archimedean Analysis
gptkbp:is_fundamental_to p-adic Analysis
p-adic Hodge Theory
p-adic Structures
gptkbp:is_influential_in Modern Algebraic Geometry
gptkbp:is_key_to_research_in Arithmetic Geometry
gptkbp:is_linked_to gptkb:Perfectoid_Rings
gptkbp:is_linked_to_research_in Geometric Number Theory
gptkbp:is_notable_for Theoretical Implications
Applications in Number Theory
gptkbp:is_part_of Modern Mathematics
Non-Archimedean Geometry
gptkbp:is_related_to gptkb:Perfectoid_Fields
gptkbp:is_relevant_to Moduli of Curves
gptkbp:is_standardized_by Formal Schemes
gptkbp:is_studied_for Geometric Properties
gptkbp:is_studied_in gptkb:Mathematics
Higher Dimensional Algebraic Geometry
Arithmetic Algebraic Geometry
gptkbp:is_used_for Studying Galois Representations
gptkbp:is_used_in Moduli Problems
gptkbp:is_utilized_in Arithmetic Geometry
gptkbp:key Understanding p-adic Hodge Theory
p-adic Cohomology
p-adic Cohomology Theory
gptkbp:provides_information_on Local Fields
gptkbp:related_to p-adic Geometry
gptkbp:used_in gptkb:Mathematics
gptkbp:bfsParent gptkb:Peter_Scholze
gptkbp:bfsLayer 5